OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
a(n) = (n + 1)*(n^2 + n + 1)*(n^3 + n^2 + n + 1)*(n^4 + n^3 + n^2 + n + 1).
G.f.: (1 + x*(109 + x*(8500 + x*(150700 + x*(792550 + x*(1454134 + x*(978436 + 5*x*(45788 + x*(3053 + 33*x)))))))))/(1 - x)^11.
MATHEMATICA
Table[QFactorial[5, n], {n, 0, 20}]
Join[{1}, With[{f=Times@@Table[Total[n^Range[0, i]], {i, 4}]}, Table[f, {n, 20}]]] (* or *) LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {1, 120, 9765, 251680, 3043425, 22661496, 121226245, 510902400, 1799118945, 5507702200, 15072415941}, 30] (* Harvey P. Dale, Sep 04 2017 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Arkadiusz Wesolowski, Oct 31 2012
STATUS
approved