The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A193845

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

A193845

Mirror of the triangle A193844.
(history; published version)

#27 by Susanna Cuyler at Tue Nov 09 18:39:33 EST 2021

STATUS

proposed

approved

#26 by Michael De Vlieger at Tue Nov 09 17:25:25 EST 2021

STATUS

editing

proposed

#25 by Michael De Vlieger at Tue Nov 09 17:25:17 EST 2021

LINKS

Michael De Vlieger, <a href="/A193845/b193845.txt">Table of n, a(n) for n = 0..11475</a> (rows 0 <= n <= 150, flattened)

MATHEMATICA

Table[2^k*Binomial[n + 1, k]*Hypergeometric2F1[1, -k, -k + n + 2, 1/2], {n, 0, 9}, {k, n, 0, -1}] // Flatten (* Michael De Vlieger, Nov 09 2021 *)

STATUS

approved

editing

#24 by Bruno Berselli at Fri Jul 09 10:20:33 EDT 2021

STATUS

reviewed

approved

#23 by Joerg Arndt at Fri Jul 09 07:28:23 EDT 2021

STATUS

proposed

reviewed

#22 by Michel Marcus at Fri Jul 09 01:53:02 EDT 2021

STATUS

editing

proposed

#21 by Michel Marcus at Fri Jul 09 01:52:51 EDT 2021

COMMENTS

A193845 This triangle is obtained by reversing the rows of the triangle A193844.

LINKS

Russell Jay Hendel, <a href="https://arxiv.org/abs/2107.03549">A Method for Uniformly Proving a Family of Identities</a>, arXiv:2107.03549 [math.CO], 2021.

FORMULA

Write w(n,k) for the triangle at A193844. The triangle at A193845 is then given by w(n,n-k).

T(n,k) = A193844(n,n-k).

STATUS

approved

editing

#20 by Bruno Berselli at Wed Oct 15 08:17:42 EDT 2014

STATUS

editing

approved

#19 by Bruno Berselli at Wed Oct 15 08:17:38 EDT 2014

COMMENTS

T(n,0) = A000225(n+1).

T(n,1) = A000337(n).

T(n,n) = A000012(n).

STATUS

proposed

editing

#18 by M. F. Hasler at Wed Oct 15 07:17:15 EDT 2014

STATUS

editing

proposed

Discussion

Wed Oct 15

07:18

M. F. Hasler: (added as comment)