OFFSET
0,3
COMMENTS
Diagonal sums of the Fibonacci-Catalan triangle A139375.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..500
FORMULA
a(n) = Sum_{k=0..n} F(k+1)*A132364(n-k).
Conjecture: (-n+1)*a(n) +6*(n-2)*a(n-1) +4*(-2*n+5)*a(n-2) +2*(-n+1)*a(n-3) +3*(3*n-7)*a(n-4) +3*(-n+3)*a(n-5) +2*(-2*n+5)*a(n-6)=0. - R. J. Mathar, Feb 05 2015
MATHEMATICA
g[0]:= 1; g[n_]:= Sum[(i/(n - i))*Binomial[2*n - 3*i - 1, n - 2*i], {i, 0, Floor[n/2]}]; a[n_] := Sum[Fibonacci[k + 1]*g[n - k], {k, 0, n}]; Table[a[n], {n, 0, 25}] (* G. C. Greubel, Oct 20 2016 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 15 2008
STATUS
approved