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URL: https://oeis.org/A054607

⇱ A054607 - OEIS

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A054607
a(n) = Sum_{d|8} phi(d)*n^(8/d).
2
0, 8, 288, 6672, 65840, 391320, 1681008, 5767328, 16781472, 43053480, 100010240, 214373808, 430002768, 815759672, 1475827920, 2562941760, 4295033408, 6975841608, 11020066272, 16983694160, 25600160880, 37823054808, 54876108848
OFFSET
0,2
LINKS
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
Row n=8 of A185651.
Sequence in context: A060859 A187289 A187191 * A254408 A132592 A034977
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Apr 16 2000
STATUS
approved