UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

SCHEDULE 13D

(Rule 13d-101)

INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
TO § 240.13d-1(a) AND AMENDMENTS THERETO FILED PURSUANT TO
§ 240.13d-2(a)

(Amendment No. 34)¹

Biglari Holdings Inc.
(Name of Issuer)

Common Stock, $.50 Stated Value
(Title of Class of Securities)

08986R101
(CUSIP Number)

Sardar Biglari
17802 IH 10 West, Suite 400
San Antonio, Texas 78257
(210) 344-3400
(Name, Address and Telephone Number of Person
Authorized to Receive Notices and Communications)

January 30, 2018
(Date of Event Which Requires Filing of This Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§ 240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check the following box ☐.

Note: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See § 240.13d-7 for other parties to whom copies are to be sent.

¹ The remainder of this cover page shall be filled out for a reporting person’s initial filing on this form with respect to the subject class of securities, and for any subsequent amendment containing information which would alter disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of Section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON Sardar Biglari
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS PF, AF, OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION USA
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 1,111,548
	8	SHARED VOTING POWER 7,475
	9	SOLE DISPOSITIVE POWER 1,111,548
	10	SHARED DISPOSITIVE POWER 7,475
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,111,548
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 53.8%
14	TYPE OF REPORTING PERSON IN

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON The Lion Fund, L.P. (the “Lion Fund I”)
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS WC, AF, OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 365,726
	8	SHARED VOTING POWER - 0 -
	9	SOLE DISPOSITIVE POWER 365,726
	10	SHARED DISPOSITIVE POWER - 0 -
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 365,726
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 17.7%
14	TYPE OF REPORTING PERSON PN

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON The Lion Fund II, L.P. (the “Lion Fund II”)
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS WC, AF
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION Delaware
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 705,414
	8	SHARED VOTING POWER - 0 -
	9	SOLE DISPOSITIVE POWER 705,414
	10	SHARED DISPOSITIVE POWER - 0 -
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 705,414
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 34.1%
14	TYPE OF REPORTING PERSON PN

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON Biglari Capital Corp. (“BCC”)
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS AF, OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION Texas
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 1,102,158
	8	SHARED VOTING POWER - 0 -
	9	SOLE DISPOSITIVE POWER 1,102,158
	10	SHARED DISPOSITIVE POWER - 0 -
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,102,158
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 53.3%
14	TYPE OF REPORTING PERSON OO

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON The Steak n Shake 401(k) Savings Plan (the “401(k) Plan”)
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION USA
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 1,128
	8	SHARED VOTING POWER - 0 -
	9	SOLE DISPOSITIVE POWER 1,128
	10	SHARED DISPOSITIVE POWER - 0 -
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 1,128
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) Less than 1%
14	TYPE OF REPORTING PERSON EP

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON The Steak n Shake Non-Qualified Savings Plan (the “Non-Qualified Savings Plan”)
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION USA
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER 786
	8	SHARED VOTING POWER - 0 -
	9	SOLE DISPOSITIVE POWER 786
	10	SHARED DISPOSITIVE POWER - 0 -
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 786
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) Less than 1%
14	TYPE OF REPORTING PERSON EP

CUSIP NO. 08986R101

1	NAME OF REPORTING PERSON Philip L. Cooley
2	CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP		(a) ☐ (b) ☐
3	SEC USE ONLY
4	SOURCE OF FUNDS PF, OO
5	CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEM 2(d) OR 2(e)		☐
6	CITIZENSHIP OR PLACE OF ORGANIZATION USA
NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH	7	SOLE VOTING POWER - 0 -
	8	SHARED VOTING POWER 7,475
	9	SOLE DISPOSITIVE POWER - 0 -
	10	SHARED DISPOSITIVE POWER 7,475
11	AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 7,475
12	CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES		☐
13	PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) Less than 1%
14	TYPE OF REPORTING PERSON IN

CUSIP NO. 08986R101

The following constitutes Amendment No. 34 (“Amendment No. 34”) to the Schedule 13D filed by the undersigned. This Amendment No. 34 amends the Schedule 13D as specifically set forth herein.

The aggregate percentage of Shares reported owned by each person named herein is based upon 2,067,613 Shares outstanding, which is the number of Shares outstanding as of November 1, 2017, as reported in the Quarterly Report on Form 10-Q for the period ended September 30, 2017 filed by the Issuer with the Securities and Exchange Commission on November 3, 2017.

Item 3. Source and Amount of Funds or Other Consideration.

Item 3 is hereby amended and supplemented as follows:

Subsequent to filing Amendment No. 33 on December 28, 2017, Lion Fund II acquired 25,831 Shares pursuant to the 2017 Purchase Plan defined and described in Amendment No. 33 as amended, for an aggregate cost of $10,704,285. Lion Fund II used its working capital to make such purchases.

SIGNATURES

After reasonable inquiry and to the best of his knowledge and belief, each of the undersigned certifies that the information set forth in this statement is true, complete and correct.

Dated: February 7, 2018	THE LION FUND, L.P.

	By:	Biglari Capital Corp.
		General Partner

	By:	/s/ Sardar Biglari
		Sardar Biglari, Chief Executive Officer

	THE LION FUND II, L.P.

	By:	Biglari Capital Corp.
		General Partner

	By:	/s/ Sardar Biglari
		Sardar Biglari, Chief Executive Officer

	BIGLARI CAPITAL CORP.

	By:	/s/ Sardar Biglari
		Sardar Biglari, Chief Executive Officer

	THE STEAK N SHAKE 401(K) SAVINGS PLAN
	By:	Steak n Shake Inc.
		Plan Sponsor

	By:	/s/ Sardar Biglari
		Sardar Biglari, Chief Executive Officer

	THE STEAK N SHAKE NON-QUALIFIED SAVINGS PLAN

	By:	Steak n Shake Inc.
		Plan Sponsor

	By:	/s/ Sardar Biglari
		Sardar Biglari, Chief Executive Officer

	/s/ Sardar Biglari
	SARDAR BIGLARI
	Individually and as Attorney-In-Fact for Philip L. Cooley

BIGLARI HOLDINGS INC. SC 13D/A