OFFSET
0,4
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
C. P. Neuman and D. I. Schonbach, Evaluation of sums of convolved powers using Bernoulli numbers, SIAM Rev. 19 (1977), no. 1, 90--99. MR0428678 (55 #1698). See Table 3.
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: 8*x^3*(2 + 7*x + 18*x^2 + 7*x^3 + 2*x^4)/(1 - x)^10. [Bruno Berselli, May 12 2014]
a(n) = (n - 2)*(n - 1)*n*(n + 1)*(n + 2)*(n^4 + 5*n^2 + 42)/1260. [Bruno Berselli, May 12 2014]
MATHEMATICA
Table[(n^9 + 21 n^5 - 190 n^3 + 168 n)/1260, {n, 0, 50}] (* Vincenzo Librandi, Mar 24 2014 *)
PROG
(Magma) [(n^9+21*n^5-190*n^3+168*n)/1260: n in [0..40]]; // Vincenzo Librandi, Mar 24 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 23 2014
STATUS
approved