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a(n) = (8*n + 1)^10.
1

%I #15 Sep 08 2022 08:44:41

%S 1,3486784401,2015993900449,95367431640625,1531578985264449,

%T 13422659310152401,79792266297612001,362033331456891249,

%U 1346274334462890625,4297625829703557649,12157665459056928801

%N a(n) = (8*n + 1)^10.

%H Vincenzo Librandi, <a href="/A017086/b017086.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

%F a(n) = 282475249 - 3228288560*n + 16602626880*n^2 - 50598481920*n^3 + 101196963840*n^4 - 138784407552*n^5 + 132175626240*n^6 - 86318776320*n^7 + 36993761280*n^8 - 9395240960*n^9 + 1073741824*n^10. - _Harvey P. Dale_, Nov 01 2011

%t (8Range[0,20]+1)^10 (* _Harvey P. Dale_, Nov 01 2011 *)

%o (Magma) [(8*n+1)^10: n in [0..20]]; // _Vincenzo Librandi_, Jul 11 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_