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A164392 Number of binary strings of length n with no substrings equal to 0001 or 0010 1
14, 25, 44, 78, 137, 241, 423, 743, 1304, 2289, 4017, 7050, 12372, 21712, 38102, 66865, 117340, 205918, 361361, 634145, 1112847, 1952911, 3427120, 6014177, 10554145, 18521234, 32502500, 57037912, 100094558, 175653705, 308250764, 540942382 (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, 0, -1, 1, -1).

FORMULA

G.f. -x^4*(-14+3*x+6*x^2-4*x^3+8*x^4) / ( (x-1)*(1+x)*(x^3-x^2+2*x-1) ). - R. J. Mathar, Nov 28 2011

CROSSREFS

Sequence in context: A032608 A164393 A164391 * A164390 A164388 A164403

Adjacent sequences:  A164389 A164390 A164391 * A164393 A164394 A164395

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 26 18:58 EDT 2017. Contains 287129 sequences.