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%I #21 Sep 08 2022 08:44:43
%S 7776,1889568,24300000,130691232,459165024,1252332576,2887174368,
%T 5904900000,11040808032,19254145824,31757969376,50049003168,
%U 75937500000,111577100832,159494694624,222620278176,304316815968
%N (12n+6)^5.
%H Vincenzo Librandi, <a href="/A017597/b017597.txt">Table of n, a(n) for n = 0..1000</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)*(x^4+236*x^3+1446*x^2+236*x+1)/(x-1)^6. [_Colin Barker_, Sep 20 2012]
%t (12 Range[0, 20] + 6)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {7776,1889568,24300000,130691232,459165024,1252332576}, 50] (* _Harvey P. Dale_, Jan 03 2013 *)
%t CoefficientList[Series[7776 (x + 1) (x^4 + 236 x^3 + 1446 x^2 + 236 x + 1)/(x - 1)^6, {x, 0, 20}], x] (* _Vincenzo Librandi_, Oct 16 2013 *)
%o (Magma) [(12*n+6)^5: n in [0..20]]; // _Vincenzo Librandi_, Oct 16 2013
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_.
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