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 A021974 Expansion of 1/((1-x)(1-4x)(1-9x)(1-12x)). 1
 1, 26, 459, 6916, 96005, 1270542, 16318303, 205487672, 2552951769, 31419668098, 384095637107, 4672689817068, 56644179720493, 684877363365494, 8264853578776071, 99595171342479904, 1198894417410885377 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (26,-217,624,-432). FORMULA a(n) = (5*12^(n+3) - 11*9^(n+3) + 11*4^(n+3) - 5)/1320. [Yahia Kahloune, Jul 05 2013] a(0)=1, a(1)=26, a(2)=459, a(3)=6916; for n>3, a(n) = 26*a(n-1) -217*a(n-2) +624*a(n-3) -432*a(n-4). - Vincenzo Librandi, Jul 11 2013 MATHEMATICA CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 9 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *) PROG (MAGMA) I:=[1, 26, 459, 6916]; [n le 4 select I[n] else 26*Self(n-1)-217*Self(n-2)+624*Self(n-3)-432*Self(n-4): n in [1..25]]; /* or */ m:=25; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-4*x)*(1-9*x)*(1-12*x)))); // Vincenzo Librandi, Jul 11 2013 CROSSREFS Sequence in context: A158436 A158431 A158432 * A158433 A158423 A158430 Adjacent sequences:  A021971 A021972 A021973 * A021975 A021976 A021977 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified January 18 00:56 EST 2022. Contains 350410 sequences. (Running on oeis4.)