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A020975 Expansion of 1/((1-7*x)*(1-11*x)*(1-12*x)). 1
1, 30, 607, 10344, 160189, 2335746, 32694859, 444486828, 5913240457, 77372622822, 999305059831, 12772807490352, 161880145667605, 2037329650638858, 25491080959642723, 317372095748963316, 3934768748483886433, 48606797206780217454, 598568489369669902735 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..920

Index entries for linear recurrences with constant coefficients, signature (30,-293,924).

FORMULA

a(n) = 30*a(n-1) - 293*a(n-2) + 924*a(n-3), n>=3. - Vincenzo Librandi, Mar 15 2011

a(n) = 23*a(n-1) - 132*a(n-2) + 7^n, a(0)=1, a(1)=30. - Vincenzo Librandi, Mar 15 2011

a(n) = 49*7^n/20 - 121*11^n/4 + 144*12^n/5. - R. J. Mathar, Jul 01 2013

MAPLE

seq(coeftayl(1/((1-7*x)*(1-11*x)*(1-12*x)), x = 0, k), k=0..17); # Muniru A Asiru, Feb 10 2018

MATHEMATICA

CoefficientList[Series[1/((1-7*x)*(1-11*x)*(1-12*x)), {x, 0, 50}], x] (* G. C. Greubel, Feb 09 2018 *)

LinearRecurrence[{30, -293, 924}, {1, 30, 607}, 20] (* Robert G. Wilson v, Feb 10 2018 *)

PROG

(PARI) x='x+O('x^30); Vec(1/((1-7*x)*(1-11*x)*(1-12*x))) \\ G. C. Greubel, Feb 09 2018

(MAGMA) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!(1/((1-7*x)*(1-11*x)*(1-12*x)))); // G. C. Greubel, Feb 09 2018

(GAP) a:=[1, 30, 607];; for n in [4..17] do a[n]:=30*a[n-1]-293*a[n-2]+924*a[n-3]; od; a; # Muniru A Asiru, Feb 10 2018

CROSSREFS

Sequence in context: A042744 A020980 A051303 * A277877 A279870 A124099

Adjacent sequences:  A020972 A020973 A020974 * A020976 A020977 A020978

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(16)-a(17) from Muniru A Asiru, Feb 10 2018

STATUS

approved

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Last modified July 10 14:17 EDT 2020. Contains 335576 sequences. (Running on oeis4.)