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A164393 Number of binary strings of length n with no substrings equal to 0001 or 0011 1
14, 25, 44, 76, 132, 228, 393, 678, 1168, 2012, 3466, 5969, 10280, 17704, 30488, 52504, 90417, 155706, 268140, 461760, 795190, 1369385, 2358196, 4061012, 6993404, 12043228, 20739449, 35715070, 61504344, 105915636, 182395602, 314100513 (list; graph; refs; listen; history; internal format)
OFFSET

4,1

LINKS

R. H. Hardin, Table of n, a(n) for n=4..500

Index to sequences with linear recurrences with constant coefficients, signature (2,0,0,-2,1).

FORMULA

G.f. -x^4*(14-3*x-6*x^2-12*x^3+8*x^4) / ( (x-1)*(x^4-x^3-x^2-x+1) ). - R. J. Mathar, Dec 01 2011

CROSSREFS

Sequence in context: A031075 A020227 A032608 * A164391 A164392 A164390

Adjacent sequences:  A164390 A164391 A164392 * A164394 A164395 A164396

KEYWORD

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Aug 14 2009

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Last modified February 17 19:07 EST 2012. Contains 206085 sequences.