A164417 Number of binary strings of length n with no substrings equal to 0000, 0010, or 0100.

1, 2, 4, 8, 13, 22, 39, 70, 124, 217, 381, 672, 1186, 2090, 3680, 6482, 11422, 20127, 35461, 62474, 110069, 193930, 341683, 601999, 1060637, 1868700, 3292407, 5800790, 10220220, 18006665, 31725356, 55895881, 98481140, 173510709, 305702860, 538607921, 948955781

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

Formula

G.f. -(x+1)*(x^5+x^4-x^3-x^2-1)/(x^7+x^6-x^5-x^4-x^2-x+1). - R. J. Mathar, Nov 30 2011

Crossrefs

Sequence in context: A164415 A233274 A336980 * A258600 A227232 A303852

Adjacent sequences: A164414 A164415 A164416 * A164418 A164419 A164420

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Extensions

Edited by Alois P. Heinz, Oct 22 2017

Status

approved