The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A248324

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

A248324

Square array read by antidiagonals downwards: super Patalan numbers of order 3.
(history; published version)

#29 by Joerg Arndt at Mon Nov 11 03:57:05 EST 2024

STATUS

proposed

approved

#28 by Michel Marcus at Mon Nov 11 03:54:59 EST 2024

STATUS

editing

proposed

#27 by Michel Marcus at Mon Nov 11 03:54:57 EST 2024

FORMULA

aT(0,0)=1, aT(n,k) = aT(n-1,k)*(9*n-3)/(n+k), aT(n,k) = aT(n,k-1)*(9*k-6)/(n+k).

EXAMPLE

aT(0..4,0..4) is:

STATUS

proposed

editing

#26 by Jason Yuen at Mon Nov 11 02:36:26 EST 2024

STATUS

editing

proposed

#25 by Jason Yuen at Mon Nov 11 02:36:22 EST 2024

FORMULA

G.f.: ((x/(1-9*x)^(2/3)+y/(1-9*y)^(1/3))/(x+y-9*x*y).

EXAMPLE

1 3 18 126 945

6 9 36 189 1134

45 45 135 567 2835

360 270 648 2268 9720

2970 1782 3564 10692 40095

STATUS

approved

editing

#24 by N. J. A. Sloane at Sat Apr 25 11:22:25 EDT 2015

STATUS

proposed

approved

#23 by Michel Marcus at Sat Apr 25 09:31:38 EDT 2015

STATUS

editing

proposed

#22 by Michel Marcus at Sat Apr 25 09:27:57 EDT 2015

LINKS

Thomas M. Richardson, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Richardson/rich2.html">The Super Patalan Numbers</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.3.

STATUS

approved

editing

#21 by Vaclav Kotesovec at Thu Oct 23 03:24:21 EDT 2014

STATUS

proposed

approved

#20 by Michel Marcus at Thu Oct 23 00:46:52 EDT 2014

STATUS

editing

proposed