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Expansion of 1/((1-6x)(1-7x)(1-8x)(1-10x)).
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%I #19 May 22 2021 21:03:22

%S 1,31,605,9515,131901,1684011,20303725,234831355,2632942301,

%T 28828462091,309891463245,3283433875995,34394321024701,

%U 357022927273771,3679144385477165,37693176577349435,384361331408659101

%N Expansion of 1/((1-6x)(1-7x)(1-8x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31,-356,1796,-3360).

%F a(n) = 18*a(n-1) - 80*a(n-2) + 7^(n+1) - 6^(n+1); a(0)=1, a(1)=31. - _Vincenzo Librandi_, Mar 11 2011

%F a(n) = (10^(n+3) - 6*8^(n+3) + 8*7^(n+3) - 3*6^(n+3))/24. - _Yahia Kahloune_, Jun 04 2013

%F a(n) = 31*a(n-1)-356*a(n-2)+1796*a(n-3)-3360*a(n-4). - _Wesley Ivan Hurt_, May 22 2021

%t CoefficientList[Series[1/((1-6x)(1-7x)(1-8x)(1-10x)),{x,0,30}],x] (* _Harvey P. Dale_, Apr 03 2021 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_