A164462 Number of binary strings of length n with no substrings equal to 0001 0100 or 0101.

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

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,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved