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A164414 Number of binary strings of length n with no substrings equal to 0000 0001 or 1010 1
13, 22, 37, 63, 107, 181, 307, 521, 883, 1497, 2539, 4305, 7299, 12377, 20987, 35585, 60339, 102313, 173483, 294161, 498787, 845753, 1434075, 2431649, 4123155, 6991305, 11854603, 20100913, 34083523, 57792729, 97994555, 166161601 (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).

FORMULA

G.f. -x^4*(13+9*x+15*x^2) / ( -1+x+2*x^3 ). a(n) = 13*A077949(n-4)+9*A077949(n-5)+15*A077949(n-6). - R. J. Mathar, Nov 30 2011

CROSSREFS

Sequence in context: A164495 A164427 A164507 * A164411 A164456 A164443

Adjacent sequences:  A164411 A164412 A164413 * A164415 A164416 A164417

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified June 26 02:24 EDT 2017. Contains 288749 sequences.