The On-Line Encyclopedia of Integer Sequences (OEIS)

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A025922

Expansion of 1/((1-x^8)(1-x^11)(1-x^12)).
(history; published version)

#9 by Harvey P. Dale at Sun Aug 18 10:59:48 EDT 2019

STATUS

editing

approved

#8 by Harvey P. Dale at Sun Aug 18 10:59:45 EDT 2019

COMMENTS

Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1). - Harvey P. Dale, Aug 18 2019

LINKS

<a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1).

STATUS

approved

editing

#7 by Harvey P. Dale at Sun Aug 18 10:59:12 EDT 2019

STATUS

editing

approved

#6 by Harvey P. Dale at Sun Aug 18 10:59:09 EDT 2019

COMMENTS

Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1). - Harvey P. Dale, Aug 18 2019

MATHEMATICA

CoefficientList[Series[1/((1-x^8)(1-x^11)(1-x^12)), {x, 0, 120}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1}, 120] (* Harvey P. Dale, Aug 18 2019 *)

STATUS

approved

editing

#5 by R. J. Mathar at Sat Jul 19 15:02:32 EDT 2014

STATUS

editing

approved

#4 by R. J. Mathar at Sat Jul 19 14:58:02 EDT 2014

FORMULA

a(n)= +a(n-8) +a(n-11) +a(n-12) -a(n-19) -a(n-20) -a(n-23) +a(n-31). - R. J. Mathar, Jul 19 2014

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:46:59 EDT 2012

AUTHOR

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

Discussion

Fri Mar 30

16:46

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^8)(1-x^11)(1-x^12)).

DATA

1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 1, 1, 2, 3, 1, 2, 3, 4, 2, 2, 3, 4, 1, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 2, 3, 4, 5, 3, 4, 5

OFFSET

0,25

KEYWORD

nonn

AUTHOR

njas

STATUS

approved