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A164398 Number of binary strings of length n with no substrings equal to 0001 or 1000 1
14, 25, 45, 82, 150, 275, 505, 928, 1706, 3137, 5769, 10610, 19514, 35891, 66013, 121416, 223318, 410745, 755477, 1389538, 2555758, 4700771, 8646065, 15902592, 29249426, 53798081, 98950097, 181997602, 334745778, 615693475, 1132436853 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

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

W. Kuszmaul, Fast Algorithms for Finding Pattern Avoiders and Counting Pattern Occurrences in Permutations, arXiv preprint arXiv:1509.08216, 2015

Index entries for linear recurrences with constant coefficients, signature (2, 0, 0, -1).

FORMULA

G.f. -x^4*(-14+3*x+5*x^2+8*x^3) / ( (x-1)*(x^3+x^2+x-1) ). - R. J. Mathar, Nov 28 2011

CROSSREFS

Sequence in context: A164403 A164389 A164401 * A174519 A079505 A039604

Adjacent sequences:  A164395 A164396 A164397 * A164399 A164400 A164401

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified June 28 20:39 EDT 2017. Contains 288840 sequences.