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A024445 Expansion of 1/((1-x)(1-7x)(1-10x)(1-12x)). 0

%I

%S 1,30,597,9934,149709,2121126,28836949,380838558,4924739997,

%T 62690732182,788556862821,9827670001422,121598064661165,

%U 1495950059553798,18319924811095413,223529877519404926,2719305099847790013,33001398296589107574,399716050359089793925

%N Expansion of 1/((1-x)(1-7x)(1-10x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30, -303, 1114, -840).

%F a(0)=1, a(1)=30, a(2)=597, a(3)=9934, a(n)=30*a(n-1)-303*a(n-2)+ 1114*a(n-3)-840*a(n-4) [From Harvey P. Dale, May 18 2011]

%F a(n) = (27*12^(n+3) - 55*10^(n+3) + 33*7^(n+3) - 5)/2940. [_Yahia Kahloune_, Jul 01 2013]

%t CoefficientList[Series[1/((1-x)(1-7x)(1-10x)(1-12x)),{x,0,40}],x] (* or *) LinearRecurrence[{30,-303,1114,-840},{1,30,597,9934},40] (* _Harvey P. Dale_, May 18 2011 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from Harvey P. Dale, May 18 2011.

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Last modified October 22 05:36 EDT 2021. Contains 348160 sequences. (Running on oeis4.)