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A164421 Number of binary strings of length n with no substrings equal to 0000 0010 or 1001 1
13, 22, 38, 65, 111, 189, 322, 549, 936, 1596, 2721, 4639, 7909, 13484, 22989, 39194, 66822, 113925, 194231, 331145, 564570, 962537, 1641032, 2797800, 4769977, 8132347, 13864861, 23638240, 40300901, 68709118, 117142366, 199716345 (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 (1,1,0,0,1).

FORMULA

G.f.: -x^4*(13+9*x+3*x^2+5*x^3+8*x^4) / ( -1+x+x^2+x^5 ). - R. J. Mathar, Nov 28 2011

CROSSREFS

Sequence in context: A164456 A164443 A164410 * A164493 A164445 A164418

Adjacent sequences: A164418 A164419 A164420 * A164422 A164423 A164424

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified November 30 15:21 EST 2022. Contains 358442 sequences. (Running on oeis4.)