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%I #13 Sep 08 2022 08:44:42
%S 16777216,11019960576,377801998336,4347792138496,28179280429056,
%T 128063081718016,457163239653376,1370114370683136,3596345248055296,
%U 8507630225817856,18509302102818816,37588592026706176,72057594037927936,131532383853732096,230193853492166656
%N (10*n+8)^8.
%H Vincenzo Librandi, <a href="/A017372/b017372.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F From _Wesley Ivan Hurt_, Oct 31 2014: (Start)
%F 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.
%F 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).
%F a(n) = (10*n+8)^8 = A001016(A017365(n)). (End)
%p A017372:=n->(10*n+8)^8: seq(A017372(n), n=0..15); # _Wesley Ivan Hurt_, Oct 31 2014
%t Table[(10 n + 8)^8, {n, 0, 15}] (* _Wesley Ivan Hurt_, Oct 31 2014 *)
%o (Magma) [(10*n+8)^8: n in [0..20]]; // _Vincenzo Librandi_, Aug 31 2011
%Y Cf. A001016 (n^8), A017365 (10n+8).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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