The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A133401 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A133401

Diagonal of polygorial array T(n,k) = n-th polygorial for k = n, for n > 2.
(history; published version)

#27 by Alois P. Heinz at Wed Sep 04 10:52:34 EDT 2019

STATUS

reviewed

approved

#26 by Michel Marcus at Wed Sep 04 09:40:14 EDT 2019

STATUS

proposed

reviewed

#25 by Michel Marcus at Wed Sep 04 09:40:06 EDT 2019

STATUS

editing

proposed

#24 by Michel Marcus at Wed Sep 04 09:40:04 EDT 2019

LINKS

Daniel Dockery, <a href="https://web.archive.org/web/20140617132401/http://danieldockery.com/res/math/polygorials.pdf"> Polygorials, Special "Factorials" of Polygonal Numbers</a>, preprint, 2003.

STATUS

proposed

editing

#23 by Petros Hadjicostas at Wed Sep 04 07:23:13 EDT 2019

STATUS

editing

proposed

#22 by Petros Hadjicostas at Wed Sep 04 07:22:59 EDT 2019

LINKS

Daniel Dockery, <a href="https://web.archive.org/web/20140617132401/http://danieldockery.com/res/math/polygorials.pdf"> Polygorials, Special "Factorials" of Polygonal Numbers.</a>, preprint, 2003.

STATUS

approved

editing

#21 by Michel Marcus at Mon Feb 11 02:23:38 EST 2019

STATUS

reviewed

approved

#20 by Joerg Arndt at Mon Feb 11 02:09:45 EST 2019

STATUS

proposed

reviewed

#19 by Michel Marcus at Sun Feb 10 12:11:38 EST 2019

STATUS

editing

proposed

#18 by Michel Marcus at Sun Feb 10 12:11:09 EST 2019

EXAMPLE

a(3) = 3rd polygorial number polygorial(3,3) = A006472(3) = product of the first 3 triangular numbers = 1*3*6 = 18.

a(4) = 4th polygorial number polygorial(4,4) = A001044(4) = product of the first 4 squares = 1*4*9*16 = 576.

a(5) = 5th pentagorial number polygorial(5,5) = A084939(5) = product of the first 5 pentagonal numbers = 1 * 5 * 12 * 22 * 35 = 46200.

STATUS

proposed

editing