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A016317
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Expansion of 1/((1-2x)(1-8x)(1-10x)).
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1
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1, 20, 284, 3520, 40656, 450240, 4851904, 51315200, 535521536, 5534172160, 56773377024, 579187015680, 5883496124416, 59567968993280, 601543751942144, 6062350015528960, 60998800124215296, 612990400993689600
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..900
Index to sequences with linear recurrences with constant coefficients, signature (20,-116, 160).
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FORMULA
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Contribution by Vincenzo Librandi, Oct 09 2011: (Start)
a(n) = (75*10^n + 2^n -8^(n+2))/12.
a(n) = 18*a(n-1) - 80*a(n-2) + 2^n.
a(n) = 20*a(n-1) - 116*a(n-2) + 160*a(n-3), n>=3. (End)
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PROG
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(Sage) [((10^n - 2^n)/8-(8^n - 2^n)/6)/2 for n in xrange(2, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
(MAGMA) [((75*10^n + 2^n -8^(n+2))/12) : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-8*x)*(1-10*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
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CROSSREFS
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Sequence in context: A019040 A021204 A017953 * A021404 A046175 A016314
Adjacent sequences: A016314 A016315 A016316 * A016318 A016319 A016320
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KEYWORD
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nonn,easy
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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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