The On-Line Encyclopedia of Integer Sequences (OEIS)

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A029422

Expansion of 1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)).
(history; published version)

#9 by Charles R Greathouse IV at Thu Sep 08 08:44:50 EDT 2022

PROG

(MAGMAMagma) m:=80; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^6)*(1-x^7)*(1-x^11)*(1-x^12)))); // Vincenzo Librandi, Mar 28 2017

Discussion

Thu Sep 08

08:44

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

#8 by Bruno Berselli at Tue Mar 28 08:14:24 EDT 2017

STATUS

proposed

approved

#7 by Vincenzo Librandi at Tue Mar 28 02:48:05 EDT 2017

STATUS

editing

proposed

#6 by Vincenzo Librandi at Tue Mar 28 02:47:55 EDT 2017

LINKS

Vincenzo Librandi, <a href="/A029422/b029422.txt">Table of n, a(n) for n = 0..10000</a>

PROG

(MAGMA) m:=80; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^6)*(1-x^7)*(1-x^11)*(1-x^12)))); // Vincenzo Librandi, Mar 28 2017

STATUS

approved

editing

#5 by Harvey P. Dale at Wed Mar 01 11:36:17 EST 2017

STATUS

editing

approved

#4 by Harvey P. Dale at Wed Mar 01 11:36:13 EST 2017

LINKS

<a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1).

MATHEMATICA

CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 1, 1, 2, 4, 3, 2, 1, 2, 3, 5, 4, 3, 3, 3, 5}, 80] (* Harvey P. Dale, Mar 01 2017 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:47:15 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:47

OEIS Server: https://oeis.org/edit/global/110

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Expansion of 1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)).

DATA

1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 1, 1, 2, 4, 3, 2, 1, 2, 3, 5, 4, 3, 3, 3, 5, 7, 5, 4, 4, 5, 6, 9, 7, 6, 6, 7, 9, 11, 9, 8, 8, 9, 11, 14, 12, 11, 11, 12, 14, 17, 15, 14, 14, 15, 17, 21, 19, 18, 18, 19, 21

OFFSET

0,13

KEYWORD

nonn

AUTHOR

njas

STATUS

approved