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A164415 Number of binary strings of length n with no substrings equal to 0000 0001 or 1100 2
13, 22, 38, 65, 112, 193, 332, 572, 985, 1696, 2921, 5030, 8662, 14917, 25688, 44237, 76180, 131188, 225917, 389048, 669973, 1153750, 1986854, 3421529, 5892160, 10146793, 17473628, 30091052, 51819313, 89237200, 153673937, 264639398 (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, 1, 1, -1).

FORMULA

Conjecture: G.f. -x^4*(-13-9*x-3*x^2+8*x^3) / ( 1-x-x^2-x^3+x^4 ). - R. J. Mathar, Nov 28 2011

CROSSREFS

Sequence in context: A164421 A164493 A164509 * A164445 A164418 A164409

Adjacent sequences:  A164412 A164413 A164414 * A164416 A164417 A164418

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified December 10 07:27 EST 2016. Contains 278993 sequences.