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 1.
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: x^2*(x^6 + 120*x^5 + 1191*x^4 + 2416*x^3 + 1191*x^2 + 120*x + 1) / (x-1)^10. - Colin Barker, Mar 24 2014
MATHEMATICA
Table[(5 n^9 - 30 n^7 + 63 n^5 - 50 n^3 + 12 n)/360, {n, 0, 50}] (* Vincenzo Librandi, Mar 24 2014 *)
PROG
(Magma) [(5*n^9-30*n^7+63*n^5-50*n^3+12*n)/360: n in [0..40]]; // Vincenzo Librandi, Mar 24 2014
(PARI) concat([0, 0], Vec(x^2*(x^6 +120*x^5 +1191*x^4 +2416*x^3 +1191*x^2 +120*x +1) / (x -1)^10 + O(x^100))) \\ Colin Barker, Mar 24 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 23 2014
STATUS
approved