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A164434 Number of binary strings of length n with no substrings equal to 0000 0101 or 1010 1
13, 23, 40, 70, 122, 213, 372, 650, 1135, 1982, 3462, 6047, 10561, 18445, 32216, 56268, 98275, 171643, 299787, 523599, 914499, 1597232, 2789674, 4872353, 8509886, 14863080, 25959362, 45339756, 79188896, 138308673, 241565308, 421909890 (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 (1,0,2,1,0,-1,-1).

FORMULA

G.f. -x^4*(-13-10*x-17*x^2-4*x^3+7*x^4+12*x^5+8*x^6) ) / ( 1-x-2*x^3-x^4+x^6+x^7 ). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A164408 A164416 A164491 * A164494 A164407 A259216

Adjacent sequences:  A164431 A164432 A164433 * A164435 A164436 A164437

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 31 18:16 EDT 2020. Contains 334748 sequences. (Running on oeis4.)