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 A016317 Expansion of 1/((1-2x)(1-8x)(1-10x)). 1
 1, 20, 284, 3520, 40656, 450240, 4851904, 51315200, 535521536, 5534172160, 56773377024, 579187015680, 5883496124416, 59567968993280, 601543751942144, 6062350015528960, 60998800124215296, 612990400993689600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..900 Index to sequences with linear recurrences with constant coefficients, signature (20,-116, 160). FORMULA 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) PROG (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 CROSSREFS Sequence in context: A019040 A021204 A017953 * A021404 A046175 A016314 Adjacent sequences:  A016314 A016315 A016316 * A016318 A016319 A016320 KEYWORD nonn,easy AUTHOR STATUS approved

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