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Revision History for A022280

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = n*(23*n - 1)/2.
(history; published version)
#27 by Susanna Cuyler at Wed Aug 23 23:39:20 EDT 2017
STATUS

proposed

approved

#26 by G. C. Greubel at Wed Aug 23 21:22:11 EDT 2017
STATUS

editing

proposed

#25 by G. C. Greubel at Wed Aug 23 21:22:04 EDT 2017
LINKS

G. C. Greubel, <a href="/A022280/b022280.txt">Table of n, a(n) for n = 0..5000</a>

FORMULA

E.g.f.: (x/2)*(23*x + 22)*exp(x). - G. C. Greubel, Aug 23 2017

STATUS

approved

editing

#24 by Charles R Greathouse IV at Fri Jun 16 23:55:48 EDT 2017
STATUS

editing

approved

#23 by Charles R Greathouse IV at Fri Jun 16 23:55:19 EDT 2017
PROG

(PARI) a(n)=n*(23*n-1)/2 \\ Charles R Greathouse IV, Jun 16 2017

STATUS

approved

editing

#22 by Joerg Arndt at Mon Oct 17 04:49:13 EDT 2016
STATUS

proposed

approved

#21 by Bruno Berselli at Mon Oct 17 04:22:48 EDT 2016
STATUS

editing

proposed

#20 by Bruno Berselli at Mon Oct 17 03:43:11 EDT 2016
CROSSREFS
#19 by Bruno Berselli at Mon Oct 17 03:25:37 EDT 2016
LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

#18 by Bruno Berselli at Fri Oct 14 10:36:37 EDT 2016
NAME

a(n) = n*(23*n - 1)/2.

FORMULA

a(n) = 23*n + a(n-1) - 12 for n>0, a(0)=0. - Vincenzo Librandi, Aug 04 2010

From Colin Barker, Jun 05 2012: (Start)

G.f.: x*(11 + 12*x)/(1 - x)^3.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). G.f.: x*(11+12*x)/(1-xEnd)^3. - _Colin Barker_, Jun 05 2012

a(n) = A000217(12*n-1) - A000217(11*n-1). - Bruno Berselli, Oct 14 2016

MATHEMATICA

Table[n (23 n - 1)/2, {n, 0, 40}] (* Bruno Berselli, Oct 14 2016 *)

CROSSREFS

Cf. A022281.

Cf. similar sequences listed in A022288.

STATUS

approved

editing