The On-Line Encyclopedia of Integer Sequences (OEIS)

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A028108

Expansion of 1/((1-3x)(1-10x)(1-11x)(1-12x)).
(history; published version)

#10 by Ray Chandler at Thu Jul 30 22:52:21 EDT 2015

STATUS

editing

approved

#9 by Ray Chandler at Thu Jul 30 22:52:18 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36, -461, 2406, -3960).

STATUS

approved

editing

#8 by N. J. A. Sloane at Tue Jun 11 10:39:23 EDT 2013

STATUS

proposed

approved

#7 by Yahia Kahloune at Tue Jun 11 07:14:57 EDT 2013

STATUS

editing

proposed

#6 by Yahia Kahloune at Tue Jun 11 07:14:52 EDT 2013

FORMULA

a(n)=(28*12^(n+3)-63*11^(n+3)+36*10^(n+3)-3^(n+3))/504. [Yahia Kahloune, Jun 11 2013]

STATUS

approved

editing

#5 by Harvey P. Dale at Fri Mar 15 17:32:12 EDT 2013

STATUS

editing

approved

#4 by Harvey P. Dale at Fri Mar 15 17:32:05 EDT 2013

FORMULA

a(0)=1, a(1)=36, a(2)=835, a(3)=15870, a(n)=36*a(n-1)-461*a(n-2)+2406*a(n-3)- 3960*a(n-4). - Harvey P. Dale, Mar 15 2013

MATHEMATICA

CoefficientList[Series[1/((1-3x)(1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -461, 2406, -3960}, {1, 36, 835, 15870}, 30] (* Harvey P. Dale, Mar 15 2013 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:47:04 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/((1-3x)(1-10x)(1-11x)(1-12x)).

DATA

1, 36, 835, 15870, 269041, 4235856, 63339535, 911961090, 12757140781, 174463937076, 2343013658635, 31002931521510, 405218193255721, 5241917197644696, 67218151176880135, 855512978401565130

OFFSET

0,2

KEYWORD

nonn

AUTHOR

njas

STATUS

approved