A164502 Number of binary strings of length n with no substrings equal to 0010 1011 or 1100.

13, 20, 31, 48, 74, 114, 176, 272, 421, 652, 1010, 1564, 2421, 3746, 5795, 8964, 13867, 21454, 33196, 51368, 79490, 123006, 190339, 294520, 455714, 705124, 1091037, 1688172, 2612149, 4041868, 6254143, 9677284, 14974018, 23169790, 35851304

Offset

4,1

Links

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,0,-2,1,0,1).

Formula

G.f.: -x^4*(13-6*x-9*x^2+12*x^3+5*x^4+8*x^5) / ( -1+2*x-2*x^3+x^4+x^6 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164467 A164505 A164484 * A164474 A164478 A164463

Adjacent sequences: A164499 A164500 A164501 * A164503 A164504 A164505

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved