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A023951 Expansion of 1/((1-x)(1-6x)(1-7x)(1-10x)). 1
1, 24, 381, 5056, 60837, 689640, 7521277, 79922832, 834214293, 8599137976, 87862904493, 892165074528, 9019015091269, 90887374167432, 913848341454429, 9173869834986544, 91989788624850165, 921675830164728408 (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 (24,-195,592,-420).

FORMULA

a(n) = (5*10^(n+3) - 30*7^(n+3) + 27*6^(n+3) - 2)/540. [Yahia Kahloune, Jun 29 2013]

a(0)=1, a(1)=24, a(2)=381, a(3)=5056; for n>3, a(n) = 24*a(n-1) -195*a(n-2) +592*a(n-3) -420*a(n-4). - Vincenzo Librandi, Jul 12 2013

MATHEMATICA

CoefficientList[Series[1 / ((1 - x) (1 - 6 x) (1 - 7 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 12 2013 *)

PROG

(Magma) I:=[1, 24, 381, 5056]; [n le 4 select I[n] else 24*Self(n-1)-195*Self(n-2)+592*Self(n-3)-420*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-6*x)*(1-7*x)*(1-10*x)))); // Vincenzo Librandi, Jul 12 2013

CROSSREFS

Sequence in context: A023954 A028036 A025977 * A025990 A022565 A025974

Adjacent sequences:  A023948 A023949 A023950 * A023952 A023953 A023954

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 3 22:17 EDT 2022. Contains 357237 sequences. (Running on oeis4.)