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Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)).
1

%I #15 May 08 2022 17:51:59

%S 1,21,297,3577,39753,422793,4384969,44813769,454009545,4575676105,

%T 45971643081,461011315401,4617904831177,46225887853257,

%U 462540273695433,4627092539587273,46281069938293449,462871589543951049

%N Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)).

%H Vincenzo Librandi, <a href="/A021829/b021829.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (21,-144,364,-240).

%F a(n) = (5*10^(n+3) - 27*6^(n+3) + 30*4^(n+3) - 8)/1080. [_Yahia Kahloune_, Jun 26 2013]

%t CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 6 x) (1 - 10 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 11 2013 *)

%t LinearRecurrence[{21,-144,364,-240},{1,21,297,3577},20] (* _Harvey P. Dale_, May 08 2022 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.