The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A016256 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A016256

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

#27 by Wesley Ivan Hurt at Thu Apr 20 17:44:21 EDT 2023

STATUS

editing

approved

#26 by Wesley Ivan Hurt at Thu Apr 20 17:42:25 EDT 2023

FORMULA

G.f.: 1/((1-x)*(1-8*x)*(1-9*x)).

a(n) = 18*a(n-1) - 89*a(n-2) + 72*a(n-3). - Wesley Ivan Hurt, Apr 20 2023

STATUS

approved

editing

#25 by Alois P. Heinz at Mon Sep 04 03:39:19 EDT 2017

STATUS

proposed

approved

#24 by Michel Marcus at Mon Sep 04 02:15:19 EDT 2017

STATUS

editing

proposed

#23 by Michel Marcus at Mon Sep 04 02:15:14 EDT 2017

LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (18,-89,72)

STATUS

proposed

editing

#22 by Jon E. Schoenfield at Mon Sep 04 01:21:37 EDT 2017

STATUS

editing

proposed

#21 by Jon E. Schoenfield at Mon Sep 04 01:21:34 EDT 2017

FORMULA

a(n) = 17*a(n-1) - 72*a(n-2) + 1. - _Vincenzo Librandi, _, Feb 10 2011

a(n) = 9^(n+2)/8 - 8^(n+2)/7 + 1/56. - _R. J. Mathar, _, Mar 14 2011

MAPLE

a:=n->sum(9^(n-j)-8^(n-j), j=0..n): seq(a(n), n=1..19); - _# _Zerinvary Lajos_, Jan 04 2007

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#20 by Charles R Greathouse IV at Sat Jun 13 00:48:38 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (18,-89,72)

Discussion

Sat Jun 13

00:48

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

#19 by Charles R Greathouse IV at Fri Jun 12 15:23:29 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (18,-89,72)

Discussion

Fri Jun 12

15:23

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

#18 by Charles R Greathouse IV at Thu Nov 21 13:07:04 EST 2013

MATHEMATICA

Table[(-8^(n + 2) + 7*9^(n + 1) + 1)/56, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 8*z) (1 - 9*z)), {z, 0, 40}], z] (* From _Vladimir Joseph Stephan Orlovsky, _, Jul 21 2011 *)

Discussion

Thu Nov 21

13:07

OEIS Server: https://oeis.org/edit/global/2063