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A164424 Number of binary strings of length n with no substrings equal to 0000 0010 or 1101 1
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 (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,-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: A164429 A164460 A164448 * A164450 A164461 A164499

Adjacent sequences:  A164421 A164422 A164423 * A164425 A164426 A164427

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 29 13:14 EDT 2017. Contains 287247 sequences.