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A164389 Number of binary strings of length n with no substrings equal to 0000 or 0101 1
14, 25, 45, 81, 145, 260, 467, 838, 1503, 2697, 4840, 8684, 15581, 27958, 50166, 90012, 161509, 289799, 519989, 933019, 1674126, 3003903, 5389930, 9671201, 17353133, 31136896, 55869228, 100246695, 179873620, 322748972, 579111590, 1039105525 (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 (1,0,2,1)

FORMULA

G.f. -x^4*(14+11*x+20*x^2+8*x^3) / ( -1+x+2*x^3+x^4 ). - R. J. Mathar, Dec 01 2011

CROSSREFS

Sequence in context: A164390 A164388 A164403 * A164401 A164398 A174519

Adjacent sequences:  A164386 A164387 A164388 * A164390 A164391 A164392

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified March 30 04:42 EDT 2017. Contains 284296 sequences.