A164499 Number of binary strings of length n with no substrings equal to 0010 0110 or 1101.

13, 21, 33, 51, 79, 122, 188, 289, 443, 678, 1037, 1586, 2426, 3711, 5676, 8680, 13272, 20292, 31025, 47436, 72529, 110896, 169557, 259245, 396371, 606028, 926583, 1416697, 2166058, 3311792, 5063556, 7741905, 11836953, 18098061, 27670963

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 (3,-3,1,0,1,-1).

Formula

G.f.: -x^4*(-13+18*x-9*x^2-2*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5-x^2+2*x-1) ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164424 A164450 A164461 * A164442 A164488 A164436

Adjacent sequences: A164496 A164497 A164498 * A164500 A164501 A164502

Keyword

nonn,easy,changed

Author

R. H. Hardin, Aug 14 2009

Status

approved