The On-Line Encyclopedia of Integer Sequences (OEIS)

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A025965

Expansion of 1/((1-2x)(1-4x)(1-6x)(1-7x)).
(history; published version)

#9 by Harvey P. Dale at Thu Jun 03 19:23:19 EDT 2021

STATUS

editing

approved

#8 by Harvey P. Dale at Thu Jun 03 19:23:16 EDT 2021

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (19,-128,356,-336).

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-4x)(1-6x)(1-7x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{19, -128, 356, -336}, {1, 19, 233, 2351}, 30] (* Harvey P. Dale, Jun 03 2021 *)

STATUS

approved

editing

#7 by Bruno Berselli at Thu Jun 20 08:40:19 EDT 2013

STATUS

editing

approved

#6 by Bruno Berselli at Thu Jun 20 08:40:16 EDT 2013

FORMULA

a(n) = -2^n/5 +16*4^n/3 -27*6^n/1 +343*7^n/15. _- _R. J. Mathar_, Jun 20 2013

KEYWORD

nonn,easy,changed

STATUS

approved

editing

#5 by R. J. Mathar at Thu Jun 20 06:34:33 EDT 2013

STATUS

editing

approved

#4 by R. J. Mathar at Thu Jun 20 06:34:29 EDT 2013

FORMULA

a(n) = -2^n/5 +16*4^n/3 -27*6^n/1 +343*7^n/15. R. J. Mathar, Jun 20 2013

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/((1-2x)(1-4x)(1-6x)(1-7x)).

DATA

1, 19, 233, 2351, 21273, 179823, 1452361, 11360767, 86821625, 652052687, 4832272809, 35441720223, 257820455257, 1863247878511, 13394300154377, 95871638560319, 683779284669369, 4862556240775695, 34494638612661865

OFFSET

0,2

KEYWORD

nonn

AUTHOR

njas

STATUS

approved