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A164443 Number of binary strings of length n with no substrings equal to 0000 0111 or 1110 1
13, 22, 37, 64, 110, 190, 329, 570, 988, 1713, 2971, 5153, 8938, 15504, 26894, 46652, 80926, 140381, 243517, 422426, 732778, 1271143, 2205040, 3825063, 6635303, 11510202, 19966647, 34635969, 60082715, 104224965, 180798144, 313628975 (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 (1,1,1,0,-1,-1).

FORMULA

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

CROSSREFS

Sequence in context: A164427 A164414 A164456 * A164410 A164421 A164493

Adjacent sequences:  A164440 A164441 A164442 * A164444 A164445 A164446

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)