A024469 a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers).

1, 3, 13, 19, 48, 79, 176, 283, 580, 940, 1844, 2982, 5667, 9171, 17047, 27581, 50404, 81557, 147090, 237995, 424686, 687158, 1215528, 1966764, 3453733, 5588259, 9752641

Offset

1,2

Links

Table of n, a(n) for n=1..27.

Formula

Conjecture: G.f.: -x*(1+2*x+7*x^2-x^3-4*x^4+2*x^5) / ( (x^2+1) *(x^2-x-1) *(x^2+x-1)^2 ). - R. J. Mathar, Apr 27 2020

Crossrefs

Sequence in context: A211438 A018621 A236940 * A007697 A055202 A158016

Adjacent sequences: A024466 A024467 A024468 * A024470 A024471 A024472

Keyword

nonn

Author

Clark Kimberling

Status

approved