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A164462 Number of binary strings of length n with no substrings equal to 0001 0100 or 0101 1
13, 20, 33, 55, 89, 143, 232, 377, 610, 986, 1596, 2584, 4181, 6764, 10945, 17711, 28657, 46367, 75024, 121393, 196418, 317810, 514228, 832040, 1346269, 2178308, 3524577, 5702887, 9227465, 14930351, 24157816, 39088169, 63245986, 102334154 (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,-1,1,0,-1).

FORMULA

G.f. -x^4*(-13+6*x-6*x^2+4*x^3+8*x^4) / ( (x-1)*(x^2+1)*(x^2+x-1) ). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A164463 A164470 A164469 * A132946 A278470 A066515

Adjacent sequences: A164459 A164460 A164461 * A164463 A164464 A164465

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified November 29 11:57 EST 2022. Contains 358424 sequences. (Running on oeis4.)