OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
From Wesley Ivan Hurt, Apr 22 2016: (Start)
G.f.: (64 + 530993*x + 13058473*x^2 + 41753398*x^3 + 26472118*x^4 + 2876609*x^5 + 15625*x^6)/(1 - x)^7.
a(n) = 7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7).
E.g.f.: (64 + 531377*x + 7857199*x^2 + 16549750*x^3 + 9808085*x^4 + 1966419*x^5 + 117649*x^6)*exp(x). - Ilya Gutkovskiy, Apr 23 2016
MAPLE
MATHEMATICA
(7 Range[0, 30] + 2)^6 (* Wesley Ivan Hurt, Apr 22 2016 *)
PROG
(Magma) [(7*n+2)^6: n in [0..25]]; // Vincenzo Librandi, Jul 13 2011
(PARI) lista(nn) = for(n=0, nn, print1((7*n+2)^6, ", ")); \\ Altug Alkan, Apr 24 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved