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A164419 Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A164480 A134035 A078157

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

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Last modified November 21 05:01 EST 2017. Contains 294988 sequences.