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A164420 Number of binary strings of length n with no substrings equal to 0000 0010 or 0111 1
13, 21, 33, 52, 81, 125, 193, 297, 457, 702, 1078, 1655, 2540, 3898, 5981, 9177, 14080, 21602, 33142, 50846, 78007, 119676, 183603, 281677, 432138, 662969, 1017100, 1560393, 2393890, 3672606, 5634358, 8643995, 13261253, 20344855, 31212218 (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 (1,1,0,0,0,-1).

FORMULA

G.f. -x^4*(-13-8*x+x^2+2*x^3+4*x^4+8*x^5) / ( (x-1)*(x^5+x^4+x^3+x^2-1) ). - R. J. Mathar, Dec 01 2011

CROSSREFS

Sequence in context: A164461 A164499 A164442 * A164488 A164436 A164457

Adjacent sequences:  A164417 A164418 A164419 * A164421 A164422 A164423

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 25 19:28 EDT 2017. Contains 287059 sequences.