OFFSET
0,2
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
G.f.: -8*x*(34*x^6+525*x^5+1971*x^4+1936*x^3+546*x^2+27*x+1) / (x-1)^9. - Colin Barker, Dec 21 2012
a(n) = n^8 + n^4 + 2*n^2 + 4*n. - Seiichi Manyama, Jul 11 2021
a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9). - Wesley Ivan Hurt, Feb 08 2026
MATHEMATICA
Table[n^8 + n^4 + 2 n^2 + 4 n, {n, 0, 30}] (* Wesley Ivan Hurt, Feb 08 2026 *)
PROG
(PARI) a(n) = n^8+n^4+2*n^2+4*n; \\ Seiichi Manyama, Jul 11 2021
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 16 2000
STATUS
approved
