A024459 a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (Lucas numbers).

1, 3, 7, 11, 26, 43, 90, 145, 290, 470, 904, 1462, 2743, 4439, 8169, 13217, 23970, 38785, 69520, 112485, 199716, 323148, 569232, 921036, 1611661, 2607723, 4537195, 7341335

Offset

1,2

Links

Table of n, a(n) for n=1..28.

Formula

Conjectured g.f.: x*(-1-2*x-x^2+3*x^3) / ( (x^2+1)*(x^2-x-1)*(x^2+x-1)^2 ). - R. J. Mathar, Apr 27 2020

Crossrefs

Cf. A000032, A000045.

Sequence in context: A316962 A360297 A092284 * A001645 A103798 A093361

Adjacent sequences: A024456 A024457 A024458 * A024460 A024461 A024462

Keyword

nonn

Author

Clark Kimberling

Status

approved