

A164435


Number of binary strings of length n with no substrings equal to 0000 0101 or 1011


1



13, 22, 37, 62, 104, 175, 295, 496, 834, 1403, 2360, 3969, 6676, 11230, 18889, 31771, 53440, 89888, 151193, 254310, 427757, 719498, 1210212, 2035607, 3423943, 5759156, 9687042, 16293847, 27406656, 46098673, 77539112, 130422714, 219374241
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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 (1,0,1,1,0,1,1).


FORMULA

G.f. x^4*(13+9*x+15*x^2+12*x^3+7*x^4+12*x^5+8*x^6) ) / ( 1+x+x^3+x^4+x^6+x^7 ).  R. J. Mathar, Jan 19 2011


CROSSREFS

Sequence in context: A164506 A164440 A164437 * A164425 A164501 A164495
Adjacent sequences: A164432 A164433 A164434 * A164436 A164437 A164438


KEYWORD

nonn


AUTHOR

R. H. Hardin Aug 14 2009


STATUS

approved



