The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A364509 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A364509

Square array read by ascending antidiagonals: T(n,k) = (2*k)!/k!^2 * ( (2*n*k)! * ((n + 2)*k)! )/( (n*k)! * ((n + 1)*k)!^2 ) for n, k > = 0.
(history; published version)

#23 by OEIS Server at Thu Oct 05 08:37:40 EDT 2023

LINKS

Winston de Greef, <a href="/A364509/b364509_1.txt">Table of n, a(n) for n = 0..3240</a> (80 antidiagonals)

#22 by Michael De Vlieger at Thu Oct 05 08:37:40 EDT 2023

STATUS

reviewed

approved

Discussion

Thu Oct 05

08:37

OEIS Server: Installed first b-file as b364509.txt.

#21 by Michel Marcus at Thu Oct 05 01:47:43 EDT 2023

STATUS

proposed

reviewed

#20 by Winston de Greef at Thu Oct 05 00:35:47 EDT 2023

STATUS

editing

proposed

#19 by Winston de Greef at Thu Oct 05 00:35:28 EDT 2023

PROG

(PARI) T(n, k) = (2*k)!/k!^2 * ( (2*n*k)! * ((n + 2)*k)! )/( (n*k)! * ((n + 1)*k)!^2 ) \\ Winston de Greef, Oct 05 2023

#18 by Winston de Greef at Thu Oct 05 00:34:45 EDT 2023

LINKS

Winston de Greef, <a href="/A364509/b364509_1.txt">Table of n, a(n) for n = 0..3240</a> (80 antidiagonals)

STATUS

approved

editing

#17 by Michael De Vlieger at Tue Aug 15 12:01:19 EDT 2023

STATUS

reviewed

approved

#16 by Joerg Arndt at Tue Aug 15 09:30:57 EDT 2023

STATUS

proposed

reviewed

#15 by Peter Bala at Tue Aug 15 08:37:48 EDT 2023

STATUS

editing

proposed

#14 by Peter Bala at Mon Aug 14 10:10:13 EDT 2023

FORMULA

T(n,k) = (-1)^(n*k) * [x^((n+1)*k)] ( (1 - x)^(2*(n+1)*k) * Legendre_P(2*k, (1 + x)/(1 - x)) ). - Peter Bala, Aug 14 2023

STATUS

approved

editing