A164470 Number of binary strings of length n with no substrings equal to 0001 0101 or 0111.

13, 20, 32, 48, 69, 102, 148, 208, 297, 424, 592, 832, 1177, 1642, 2292, 3224, 4501, 6268, 8784, 12272, 17085, 23886, 33380, 46496, 64913, 90704, 126432, 176384, 246385, 343634, 479268, 669224, 933725, 1302244, 1817792, 2536752, 3538293

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,-1,2,-3,0,1).

Formula

G.f.: -x^4*(13-6*x+5*x^2-22*x^3+4*x^4+8*x^5) / ( (x^4+2*x^3-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164474 A164478 A164463 * A164469 A164462 A132946

Adjacent sequences: A164467 A164468 A164469 * A164471 A164472 A164473

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved