The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A018056

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A018056

Expansion of 1/((1-3*x)*(1-8*x)*(1-9*x)).
(history; published version)

#18 by Charles R Greathouse IV at Thu Sep 08 08:44:44 EDT 2022

PROG

(MAGMAMagma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-3*x)*(1-8*x)*(1-9*x)))); /* or */ I:=[1, 20, 277]; [n le 3 select I[n] else 20*Self(n-1)-123*Self(n-2)+216*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 02 2013

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#17 by Harvey P. Dale at Sat Aug 24 11:46:43 EDT 2019

STATUS

editing

approved

#16 by Harvey P. Dale at Sat Aug 24 11:46:40 EDT 2019

MATHEMATICA

LinearRecurrence[{20, -123, 216}, {1, 20, 277}, 20] (* Harvey P. Dale, Aug 24 2019 *)

STATUS

approved

editing

#15 by Bruno Berselli at Thu Apr 13 09:30:35 EDT 2017

STATUS

editing

approved

#14 by Bruno Berselli at Thu Apr 13 09:30:32 EDT 2017

NAME

Expansion of 1/((1-3x3*x)*(1-8x8*x)*(1-9x9*x)).

STATUS

approved

editing

#13 by Charles R Greathouse IV at Sat Jun 13 00:48:53 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (20,-123,216).

Discussion

Sat Jun 13

00:48

OEIS Server: https://oeis.org/edit/global/2439

#12 by Charles R Greathouse IV at Fri Jun 12 15:23:31 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (20,-123,216).

Discussion

Fri Jun 12

15:23

OEIS Server: https://oeis.org/edit/global/2436

#11 by Joerg Arndt at Sat Jul 06 11:40:16 EDT 2013

STATUS

proposed

approved

#10 by Yahia Kahloune at Sat Jul 06 09:32:35 EDT 2013

STATUS

editing

proposed

#9 by Yahia Kahloune at Sat Jul 06 09:32:24 EDT 2013

FORMULA

a(n) = (5*9^(n+2) - 6*8^(n+2) + 3^(n+2))/30. [Yahia Kahloune, Jul 06 2013]

STATUS

approved

editing