A164494 Number of binary strings of length n with no substrings equal to 0010 0101 or 1010.

13, 23, 40, 70, 123, 216, 379, 665, 1167, 2048, 3594, 6307, 11068, 19423, 34085, 59815, 104968, 184206, 323259, 567280, 995507, 1746993, 3065759, 5380032, 9441298, 16568323, 29075380, 51023735, 89540413, 157132471, 275748264, 483904470

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).

Formula

G.f.: -x^4*(13-3*x+7*x^2) / ( -1+2*x-x^2+x^3 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164416 A164491 A164434 * A164407 A259216 A339867

Adjacent sequences: A164491 A164492 A164493 * A164495 A164496 A164497

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved