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A021629 Expansion of 1/((1-x)(1-3x)(1-7x)(1-12x)). 1
1, 23, 366, 5062, 65555, 820701, 10087792, 122732444, 1484551749, 17896987459, 215340503378, 2588122883346, 31085733296983, 373226612833097, 4480104054056724, 53770941570620968, 645319149365603657 (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 (23,-163,393,-252).

FORMULA

a(0)=1, a(1)=23, a(2)=366, a(3)=5062; for n>3, a(n) = 23*a(n-1) -163*a(n-2) +393*a(n-3) -252*a(n-4). - Vincenzo Librandi, Jul 11 2013

MATHEMATICA

CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 7 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)

LinearRecurrence[{23, -163, 393, -252}, {1, 23, 366, 5062}, 30] (* Harvey P. Dale, Aug 09 2015 *)

PROG

(MAGMA) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-7*x)*(1-12*x)))); /* or */ I:=[1, 23, 366, 5062]; [n le 4 select I[n] else 23*Self(n-1)-163*Self(n-2)+393*Self(n-3)-252*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 11 2013

CROSSREFS

Sequence in context: A019682 A021844 A019672 * A019869 A021294 A019628

Adjacent sequences:  A021626 A021627 A021628 * A021630 A021631 A021632

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 27 19:34 EDT 2021. Contains 347694 sequences. (Running on oeis4.)