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A164412 Number of binary strings of length n with no substrings equal to 0000 0001 or 0111 1
13, 22, 37, 60, 98, 160, 259, 420, 681, 1102, 1784, 2888, 4673, 7562, 12237, 19800, 32038, 51840, 83879, 135720, 219601, 355322, 574924, 930248, 1505173, 2435422, 3940597, 6376020, 10316618, 16692640, 27009259, 43701900, 70711161, 114413062 (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 (1,1,1,-1,-1).

FORMULA

G.f. -x^4*(-13-9*x-2*x^2+12*x^3+8*x^4) / ( (x-1)*(1+x+x^2)*(x^2+x-1) ). - R. J. Mathar, Nov 30 2011

CROSSREFS

Sequence in context: A162245 A159302 A172187 * A164472 A164446 A164506

Adjacent sequences:  A164409 A164410 A164411 * A164413 A164414 A164415

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified March 29 21:48 EDT 2017. Contains 284288 sequences.