[go: up one dir, main page]

login
Revision History for A332863 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Total binary weight squared of all A005251(n) binary sequences of length n not containing any isolated 1's.
(history; published version)
#24 by Joerg Arndt at Thu Apr 14 01:20:57 EDT 2022
STATUS

reviewed

approved

#23 by Michel Marcus at Wed Apr 13 23:52:39 EDT 2022
STATUS

proposed

reviewed

#22 by G. C. Greubel at Wed Apr 13 18:41:52 EDT 2022
STATUS

editing

proposed

#21 by G. C. Greubel at Wed Apr 13 18:41:44 EDT 2022
LINKS

G. C. Greubel, <a href="/A332863/b332863.txt">Table of n, a(n) for n = 0..1000</a>

FORMULA

G.f.: x^2*(-4+-7*x-+4*x^2-+3*x^3+-x^4)/(-1+-2*x-+x^2+-x^3)^3.

MATHEMATICA

LinearRecurrence[{6, -15, 23, -27, 24, -16, 9, -3, 1}, {0, 0, 4, 17, 46, 116, 288, 683, 1548}, 40] (* G. C. Greubel, Apr 13 2022 *)

PROG

(Magma) R<x>:=PowerSeriesRing(Integers(), 40); [0, 0] cat Coefficients(R!( x^2*(4-7*x+4*x^2+3*x^3-x^4)/(1-2*x+x^2-x^3)^3 )); // G. C. Greubel, Apr 13 2022

(SageMath)

def A332863_list(prec):

P.<x> = PowerSeriesRing(ZZ, prec)

return P( x^2*(4-7*x+4*x^2+3*x^3-x^4)/(1-2*x+x^2-x^3)^3 ).list()

A332863_list(40) # G. C. Greubel, Apr 13 2022

STATUS

approved

editing

#20 by Alois P. Heinz at Tue Mar 24 16:51:00 EDT 2020
STATUS

proposed

approved

#19 by Michel Marcus at Tue Mar 24 15:36:42 EDT 2020
STATUS

editing

proposed

Discussion
Tue Mar 24
16:18
Steven Finch: Most sorry about deleting your link, Alois!  Thank you for reinstating this.
16:50
Alois P. Heinz: no problem ...
#18 by Michel Marcus at Tue Mar 24 15:36:35 EDT 2020
LINKS

Steven Finch, <a href="https://arxiv.org/abs/2003.09458">Cantor-solus and Cantor-multus distributions</a>, arXiv:2003.09458 [math.CO], 2020.

STATUS

proposed

editing

#17 by Alois P. Heinz at Tue Mar 24 15:35:14 EDT 2020
STATUS

editing

proposed

#16 by Alois P. Heinz at Tue Mar 24 15:31:46 EDT 2020
LINKS

Steven Finch, <a href="https://arxiv.org/abs/2003.09458">Cantor-solus and Cantor-multus distributions</a>, arXiv:2003.09458 [math.CO], 2020

<a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,23,-27,24,-16,9,-3,1).

STATUS

proposed

editing

Discussion
Tue Mar 24
15:33
Alois P. Heinz: yes, but please do not remove or overwrite existing links, ... I reinserted a link that was here before ...
#15 by Steven Finch at Tue Mar 24 15:22:47 EDT 2020
STATUS

editing

proposed