A017372 (10*n+8)^8.

16777216, 11019960576, 377801998336, 4347792138496, 28179280429056, 128063081718016, 457163239653376, 1370114370683136, 3596345248055296, 8507630225817856, 18509302102818816, 37588592026706176, 72057594037927936, 131532383853732096, 230193853492166656

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, 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).

Crossrefs

Cf. A001016 (n^8), A017365 (10n+8).

Programs

Magma

[(10*n+8)^8: n in [0..20]]; // Vincenzo Librandi, Aug 31 2011

Maple

A017372:=n->(10*n+8)^8: seq(A017372(n), n=0..15); # Wesley Ivan Hurt, Oct 31 2014

Mathematica

Table[(10 n + 8)^8, {n, 0, 15}] (* Wesley Ivan Hurt, Oct 31 2014 *)

Formula

From Wesley Ivan Hurt, Oct 31 2014: (Start)

G.f.: 256*(65536 + 42456897*x + 1090727863*x^2 + 5245638469*x^3 + 6743985795*x^4 + 2426203459*x^5 + 199242373*x^6 + 1679607*x^7 + x^8)/(1 - x)^9.

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).

a(n) = (10*n+8)^8 = A001016(A017365(n)). (End)