OFFSET
0,3
LINKS
Z.-W. Sun, Congruences for Franel numbers, arXiv preprint arXiv:1112.1034, 2011. See Eq. 1.6.
FORMULA
Conjecture: (n-1)*(n-2)*a(n) +2*(n^2+3*n-9)*a(n-1) +3*(-13*n^2+63*n-80)*a(n-2) +4*(17*n^2-96*n+136)*a(n-3) -32*(n-3)^2*a(n-4)=0. - R. J. Mathar, Nov 28 2013
MATHEMATICA
a[n_] := Sum[(-1)^k k Sum[Binomial[k, j]^3, {j, 0, k}], {k, 0, n-1}];
Table[a[n], {n, 0, 23}] (* Jean-François Alcover, Oct 31 2018 *)
CROSSREFS
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Feb 16 2012
STATUS
approved