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A023955 Expansion of 1/((1-x)(1-6x)(1-8x)(1-10x)). 1

%I

%S 1,25,413,5693,70989,831693,9347341,102052621,1091175437,11489041421,

%T 119581270029,1233774903309,12644058796045,128906738896909,

%U 1308890633457677,13248056512466957,133757151879680013

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

%H Vincenzo Librandi, <a href="/A023955/b023955.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (25,-212,668, -480).

%F a(n) = (35*10^(n+3) - 90*8^(n+3) + 63*6^(n+3) -8)/2520. [_Yahia Kahloune_, Jun 30 2013]

%F a(0)=1, a(1)=25, a(2)=413, a(3)=5693; for n>3, a(n) = 25*a(n-1) -212*a(n-2) +668*a(n-3) -480*a(n-4). - _Vincenzo Librandi_, Jul 16 2013

%t CoefficientList[Series[1 / ((1 - x) (1 - 6 x) (1 - 8 x) (1 - 10 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Jul 16 2013 *)

%o (MAGMA) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-6*x)*(1-8*x)*(1-10*x)))); /* or */ I:=[1, 25, 413, 5693]; [n le 4 select I[n] else 25*Self(n-1)-212*Self(n-2)+668*Self(n-3)-480*Self(n-4): n in [1..25]]; // _Vincenzo Librandi_, Jul 16 2013

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified May 26 03:55 EDT 2022. Contains 354074 sequences. (Running on oeis4.)