The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A219758

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A219758

Expansion of x^4*(2-6*x+5*x^2+2*x^3-4*x^4)/((1-x)^2*(1-2*x)^5).
(history; published version)

#30 by Alois P. Heinz at Wed Feb 14 06:20:13 EST 2024

STATUS

reviewed

approved

#29 by Joerg Arndt at Wed Feb 14 04:27:02 EST 2024

STATUS

proposed

reviewed

#28 by Michel Marcus at Wed Feb 14 03:20:34 EST 2024

STATUS

editing

proposed

#27 by Michel Marcus at Wed Feb 14 03:20:31 EST 2024

LINKS

M. H. Albert, M. D. Atkinson and Robert Brignall, <a href="http://arxiv.org/abs/1206.3183">The enumeration of three pattern classes</a>, arXiv:1206.3183 [math.CO] (2012), p. 26.

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (12,-61,170,-280,272,-144,32).

PROG

(Maxima) makelist(coeff(taylor(x^4*(2-6*x+5*x^2+2*x^3-4*x^4)/((1-x)^2*(1-2*x)^5), x, 0, n), x, n), n, 0, 29); [_/* _Bruno Berselli_, Nov 29 2012] */

STATUS

approved

editing

#26 by Charles R Greathouse IV at Thu Sep 08 08:46:04 EDT 2022

PROG

(MAGMAMagma) I:=[0, 0, 0, 0, 2, 18, 99, 432, 1641, 5674]; [n le 10 select I[n] else 12*Self(n-1) - 61*Self(n-2) + 170*Self(n-3) - 280*Self(n-4) + 272*Self(n-5) - 144*Self(n-6) + 32*Self(n-7): n in [1..30]]; // Vincenzo Librandi, Dec 14 2012

Discussion

Thu Sep 08

08:46

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

#25 by Harvey P. Dale at Fri Jul 07 14:01:12 EDT 2017

STATUS

editing

approved

#24 by Harvey P. Dale at Fri Jul 07 14:01:06 EDT 2017

MATHEMATICA

LinearRecurrence[{12, -61, 170, -280, 272, -144, 32}, {0, 0, 0, 0, 2, 18, 99, 432, 1641}, 30] (* Harvey P. Dale, Jul 07 2017 *)

STATUS

approved

editing

#23 by Charles R Greathouse IV at Sat Jun 13 00:54:36 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (12,-61,170,-280,272,-144,32).

Discussion

Sat Jun 13

00:54

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

#22 by Charles R Greathouse IV at Fri Jun 12 15:33:33 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (12,-61,170,-280,272,-144,32).

Discussion

Fri Jun 12

15:33

OEIS Server: https://oeis.org/edit/global/2437

#21 by Joerg Arndt at Sat Dec 15 02:40:06 EST 2012

STATUS

proposed

approved