login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

a(n) = (8*n + 1)^11.
1

%I #16 Sep 08 2022 08:44:41

%S 1,31381059609,34271896307633,2384185791015625,50542106513726817,

%T 550329031716248441,3909821048582988049,20635899893042801193,

%U 87507831740087890625,313726685568359708377,984770902183611232881

%N a(n) = (8*n + 1)^11.

%H Vincenzo Librandi, <a href="/A017087/b017087.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).

%t (8*Range[0,10]+1)^11 (* or *) LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{1,31381059609,34271896307633,2384185791015625,50542106513726817,550329031716248441,3909821048582988049,20635899893042801193,87507831740087890625,313726685568359708377,984770902183611232881,2775173073766990340489},20] (* _Harvey P. Dale_, Sep 08 2017 *)

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

%o (PARI) a(n)=(8*n+1)^11 \\ _Charles R Greathouse IV_, Aug 11 2014

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_