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 A021714 Expansion of 1/((1-x)(1-3x)(1-10x)(1-11x)). 0

%I

%S 1,25,428,6278,84879,1092243,13601506,165488176,1979095877,

%T 23357343581,272803757304,3159571375194,36342586372795,

%U 415641464948839,4730786270092622,53625950549096132,605758471885400433

%N Expansion of 1/((1-x)(1-3x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index to sequences with linear recurrences with constant coefficients</a>, signature (25,-197,503,-330).

%F G.f.: 1/((1-x)*(1-3*x)*(1-10*x)*(1-11*x)).

%F a(n) = -1/180 +3^(n+3)/112 -10^(n+3)/63 +11^(n+3)/80. [_Bruno Berselli_, May 07 2013]

%F a(n)-11*a(n-1) = A016215(n). [_Bruno Berselli_, May 08 2013]

%t CoefficientList[Series[1/((1 - x) (1 - 3 x) (1 - 10 x) (1 - 11 x)), {x, 0, 20}], x] (* _Bruno Berselli_, May 07 2013 *)

%o (PARI) Vec(1/((1-x)*(1-3*x)*(1-10*x)*(1-11*x))+O(x^20)) \\ _Bruno Berselli_, May 07 2013

%o (MAGMA) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-10*x)*(1-11*x)))); // _Bruno Berselli_, May 07 2013

%Y Cf. A016215, A018206 (first differences).

%K nonn,easy,changed

%O 0,2

%A _N. J. A. Sloane_.

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