The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A242659 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A242659

a(n) = n*(n^2 - 3*n + 4).
(history; published version)

#12 by Charles R Greathouse IV at Thu Sep 08 08:46:08 EDT 2022

PROG

(MAGMAMagma) [n*(n^2 - 3*n + 4) : n in [0..60]]; // Wesley Ivan Hurt, May 30 2016

Discussion

Thu Sep 08

08:46

OEIS Server: https://oeis.org/edit/global/2944

#11 by Bruno Berselli at Wed Sep 07 03:50:18 EDT 2016

STATUS

proposed

approved

#10 by Vincenzo Librandi at Wed Sep 07 03:18:40 EDT 2016

STATUS

editing

proposed

#9 by Vincenzo Librandi at Wed Sep 07 03:18:35 EDT 2016

LINKS

Vincenzo Librandi, <a href="/A242659/b242659.txt">Table of n, a(n) for n = 0..1000</a>

MATHEMATICA

LinearRecurrence[{4, -6, 4, -1}, {0, 2, 4, 12}, 40] (* Vincenzo Librandi, Sep 07 2016 *)

STATUS

approved

editing

#8 by N. J. A. Sloane at Mon May 30 23:50:38 EDT 2016

STATUS

proposed

approved

#7 by Wesley Ivan Hurt at Mon May 30 21:24:38 EDT 2016

STATUS

editing

proposed

#6 by Wesley Ivan Hurt at Mon May 30 21:23:49 EDT 2016

NAME

a(n) = n*(n^2 -3n 3*n + 4).

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

MAPLE

A242659:=n->n*(n^2 - 3*n + 4): seq(A242659(n), n=0..80); # Wesley Ivan Hurt, May 30 2016

MATHEMATICA

Table[n*(n^2 - 3*n + 4), {n, 0, 60}] (* Wesley Ivan Hurt, May 30 2016 *)

PROG

(MAGMA) [n*(n^2 - 3*n + 4) : n in [0..60]]; // Wesley Ivan Hurt, May 30 2016

KEYWORD

nonn,easy,changed

STATUS

proposed

editing

#5 by Chai Wah Wu at Mon May 30 21:10:39 EDT 2016

STATUS

editing

proposed

#4 by Chai Wah Wu at Mon May 30 19:56:06 EDT 2016

FORMULA

From Chai Wah Wu, May 30 2016: (Start)

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3.

G.f.: 2*x*(4*x^2 - 2*x + 1)/(x - 1)^4. (End)

STATUS

approved

editing

#3 by N. J. A. Sloane at Fri May 30 23:14:45 EDT 2014

STATUS

editing

approved