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A164441 Number of binary strings of length n with no substrings equal to 0000, 0110, or 1111. 2
1, 2, 4, 8, 13, 22, 36, 59, 97, 160, 263, 433, 712, 1172, 1928, 3173, 5220, 8590, 14133, 23256, 38264, 62962, 103596, 170461, 280475, 461501, 759354, 1249456, 2055862, 3382748, 5566002, 9158377, 15069284, 24795193, 40798275, 67129981, 110456415, 181746303 (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 (0,1,1,2,1,1).

FORMULA

G.f.: -(x+1)*(x^2+1)*(x^5+x^4+2*x^3+x^2+x+1)/(x^6+x^5+2*x^4+x^3+x^2-1). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A330153 A244985 A164413 * A338761 A023600 A164437

Adjacent sequences:  A164438 A164439 A164440 * A164442 A164443 A164444

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

Edited by Alois P. Heinz, Oct 27 2017

STATUS

approved

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Last modified June 12 12:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)