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 A016633 Expansion of 1/((1-2x)(1-11x)(1-12x)). 1
 1, 25, 447, 6989, 101759, 1417941, 19180519, 253983853, 3309800367, 42599540357, 542895780791, 6863463633117, 86197420501375, 1076563471968373, 13382900349107463, 165700329729679181 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..900 Index entries for linear recurrences with constant coefficients, signature (25,-178,264). FORMULA From Vincenzo Librandi, Oct 09 2011: (Start) a(n) = (648*12^n + 2^(n+1) - 5*11^(n+2))/45. a(n) = 23*a(n-1) - 132*a(n-2) + 2^n. a(n) = 25*a(n-1) - 178*a(n-2) + 264*a(n-3), n >= 3. (End) MATHEMATICA CoefficientList[Series[1/((1 - 2 x) (1 - 11 x) (1 - 12 x)), {x, 0, 15}], x] (* Michael De Vlieger, Jan 31 2018 *) PROG (Sage) [(12^n - 2^n)/10-(11^n - 2^n)/9 for n in range(2, 18)] # Zerinvary Lajos, Jun 05 2009 (MAGMA) [(648*12^n +2^(n+1)-5*11^(n+2))/45 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011 (PARI) Vec(1/((1-2*x)*(1-11*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012 CROSSREFS Cf. A006516, A016127, A016129, A016130, A016311, A016316, A016321, A016325. - Zerinvary Lajos, Jun 05 2009 Sequence in context: A264382 A260854 A001714 * A001811 A131279 A056069 Adjacent sequences:  A016630 A016631 A016632 * A016634 A016635 A016636 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified August 14 01:55 EDT 2020. Contains 336476 sequences. (Running on oeis4.)