A024472 - OEIS

%I #5 Apr 27 2020 12:07:55

%S 1,2,9,14,35,57,127,205,420,680,1334,2158,4101,6636,12335,19958,36473,

%T 59015,106435,172215,307306,497232,879564,1423164,2499145,4043702,

%U 7057077

%N a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (F(2), F(3), ...).

%F Conjecture: G.f.: x*(-1-x-4*x^2-x^3+2*x^4) / ( (x^2-x-1) *(x^2+1) *(x^2+x-1)^2 ). - _R. J. Mathar_, Apr 27 2020

%K nonn

%O 1,2

%A _Clark Kimberling_