A164424 - OEIS

A164424

Number of binary strings of length n with no substrings equal to 0000 0010 or 1101.

13, 21, 33, 51, 78, 118, 178, 268, 403, 605, 907, 1359, 2036, 3050, 4568, 6840, 10241, 15333, 22957, 34371, 51458, 77038, 115334, 172668, 258503, 387005, 579383, 867391, 1298568, 1944082, 2910476, 4357256, 6523221, 9765877, 14620441, 21888179

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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,-1,0,1,0,-1).

FORMULA

G.f.: -x^4*(-13+5*x-4*x^2-6*x^3+4*x^4+8*x^5) / ( (x-1)*(x^5+x^4+x-1) ). - R. J. Mathar, Dec 01 2011

CROSSREFS

Sequence in context: A164490 A164460 A164448 * A164450 A164461 A164499

Adjacent sequences: A164421 A164422 A164423 * A164425 A164426 A164427

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved