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A021714
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Expansion of 1/((1-x)(1-3x)(1-10x)(1-11x)).
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0
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1, 25, 428, 6278, 84879, 1092243, 13601506, 165488176, 1979095877, 23357343581, 272803757304, 3159571375194, 36342586372795, 415641464948839, 4730786270092622, 53625950549096132, 605758471885400433
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..16.
Index to sequences with linear recurrences with constant coefficients, signature (25,-197,503,-330).
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FORMULA
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G.f.: 1/((1-x)*(1-3*x)*(1-10*x)*(1-11*x)).
a(n) = -1/180 +3^(n+3)/112 -10^(n+3)/63 +11^(n+3)/80. [Bruno Berselli, May 07 2013]
a(n)-11*a(n-1) = A016215(n). [Bruno Berselli, May 08 2013]
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MATHEMATICA
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CoefficientList[Series[1/((1 - x) (1 - 3 x) (1 - 10 x) (1 - 11 x)), {x, 0, 20}], x] (* Bruno Berselli, May 07 2013 *)
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PROG
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(PARI) Vec(1/((1-x)*(1-3*x)*(1-10*x)*(1-11*x))+O(x^20)) \\ Bruno Berselli, May 07 2013
(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
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CROSSREFS
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Cf. A016215, A018206 (first differences).
Sequence in context: A021944 A020499 A020577 * A056090 A020448 A203544
Adjacent sequences: A021711 A021712 A021713 * A021715 A021716 A021717
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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