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A164455 Number of binary strings of length n with no substrings equal to 0001 0011 or 0111 1
13, 22, 36, 56, 89, 138, 212, 328, 501, 766, 1172, 1784, 2721, 4146, 6308, 9608, 14621, 22246, 33860, 51512, 78377, 119258, 181428, 276040, 419973, 638926, 972084, 1478904, 2249969, 3423106, 5207812, 7923080, 12054061, 18338742, 27900260 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,0,0,-3,2).

FORMULA

G.f. -x^4*(13-4*x-8*x^2-16*x^3+16*x^4) / ( (2*x^3+x^2-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A132131 A336263 A059408 * A164504 A162245 A159302

Adjacent sequences:  A164452 A164453 A164454 * A164456 A164457 A164458

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified October 16 20:36 EDT 2021. Contains 348047 sequences. (Running on oeis4.)