A164466 Number of binary strings of length n with no substrings equal to 0001, 0100, or 1011.

1, 2, 4, 8, 13, 20, 30, 44, 63, 89, 125, 175, 244, 339, 470, 651, 901, 1246, 1722, 2379, 3286, 4538, 6266, 8651, 11943, 16487, 22759, 31416, 43365, 59858, 82623, 114045, 157416, 217280, 299909, 413960, 571382, 788668, 1088583, 1502549, 2073937, 2862611

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..2000 (first 500 terms from R. H. Hardin)

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

Formula

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

Crossrefs

Sequence in context: A247587 A061866 A164476 * A164487 A130840 A115266

Adjacent sequences: A164463 A164464 A164465 * A164467 A164468 A164469

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved