A164419 Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110.

1, 2, 4, 8, 13, 21, 33, 55, 92, 156, 260, 433, 717, 1193, 1985, 3310, 5512, 9180, 15277, 25433, 42337, 70495, 117368, 195416, 325336, 541649, 901769, 1501361, 2499601, 4161594, 6928588, 11535360, 19205085, 31974413, 53233921, 88628791, 147557332, 245667060

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,-1,1,1,1).

Formula

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

Crossrefs

Sequence in context: A073336 A164420 A164457 * A164431 A164480 A134035

Adjacent sequences: A164416 A164417 A164418 * A164420 A164421 A164422

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Extensions

Edited by Alois P. Heinz, Nov 02 2017

Status

approved