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A164456 Number of binary strings of length n with no substrings equal to 0001 0011 or 1000 1
13, 22, 37, 63, 108, 185, 318, 547, 941, 1620, 2789, 4802, 8269, 14239, 24520, 42225, 72714, 125219, 215637, 371344, 639485, 1101246, 1896437, 3265823, 5624020, 9685033, 16678438, 28721667, 49461117, 85176188, 146680533, 252596170 (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 (2,0,0,-2,1).

FORMULA

G.f.  -x^4*(13-4*x-7*x^2-11*x^3+8*x^4) / ( (x-1)*(x^4-x^3-x^2-x+1) ). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A164495 A164427 A164414 * A164443 A164410 A164421

Adjacent sequences:  A164453 A164454 A164455 * A164457 A164458 A164459

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 7 15:38 EDT 2021. Contains 343650 sequences. (Running on oeis4.)