A016913 - OEIS

%I #19 Dec 10 2025 10:04:30

%S 0,7776,248832,1889568,7962624,24300000,60466176,130691232,254803968,

%T 459165024,777600000,1252332576,1934917632,2887174368,4182119424,

%U 5904900000,8153726976,11040808032,14693280768,19254145824,24883200000,31757969376,40074642432,50049003168,61917364224

%N a(n) = (6*n)^5.

%H Vincenzo Librandi, <a href="/A016913/b016913.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).

%F G.f.: 7776*x*(1+26*x+66*x^2+26*x^3+x^4)/(1-x)^6. [_Colin Barker_, Sep 17 2012]

%p A016913:=n->(6*n)^5: seq(A016913(n), n=0..40); # _Wesley Ivan Hurt_, Jan 27 2017

%t (6*Range[0, 25])^5 (* _Paolo Xausa_, Dec 10 2025 *)

%o (Magma) [(6*n)^5: n in [0..40]]; // _Vincenzo Librandi_, May 03 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_