A164390 Number of binary strings of length n with no substrings equal to 0000 or 0110.

1, 2, 4, 8, 14, 25, 44, 79, 141, 253, 452, 809, 1446, 2587, 4626, 8275, 14799, 26470, 47341, 84673, 151439, 270857, 484436, 866436, 1549652, 2771618, 4957145, 8866056, 15857289, 28361399, 50725485, 90724558, 162264477, 290216490, 519063741, 928366188

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

Formula

G.f.: -(x^5+x^4+2*x^3+x^2+x+1)/(x^6+x^4+x^2+x-1). - R. J. Mathar, Nov 28 2011

Mathematica

LinearRecurrence[{1, 1, 0, 1, 0, 1}, {14, 25, 44, 79, 141, 253}, 50] (* G. C. Greubel, Sep 18 2017 *)

Crossrefs

Sequence in context: A212588 A164392 A164152 * A164151 A281810 A199925

Adjacent sequences: A164387 A164388 A164389 * A164391 A164392 A164393

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Extensions

Edited by Alois P. Heinz, Oct 12 2017

Status

approved