OFFSET
0,2
LINKS
Z.-W. Sun, Congruences for Franel numbers, arXiv preprint arXiv:1112.1034, 2011.
FORMULA
Conjecture: n*(n-1)*a(n) +(-14*n^2+23*n-12)*a(n-1) +(52*n^2-151*n+120)*a(n-2) +3*(-22*n^2+79*n-72)*a(n-3) +27*(n-2)^2*a(n-4)=0. - R. J. Mathar, Nov 28 2013
MATHEMATICA
a[n_] := Sum[k Sum[Binomial[k, j]^2 Binomial[2j, j], {j, 0, k}], {k, 0, n}];
Table[a[n], {n, 0, 22}] (* Jean-François Alcover, Oct 31 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 16 2012
STATUS
approved