Missing Table?

[Richard Mathar]

The master table of A040027 could also be A046936..but this does not fit the
2nd, 3rd and 4th diagonal as well as A124496 does.

RJM

> From seqfan-owner at ext.jussieu.fr  Mon Nov 27 05:03:23 2006
> Return-Path: <seqfan-owner at ext.jussieu.fr>
> To: Seqfan at ext.jussieu.fr
> Cc: gould at math.wvu.edu
> Date: Sun, 26 Nov 2006 22:58:25 -0500
> Subject: Missing Table?
> From: "Paul D. Hanna" <pauldhanna at juno.com>
> 
> Seqfans,
>      Where is the rectangular table referred to by these sequences?
>  
> A040027  Main diagonal of an array of binomial recurrence coefficients.  
>  0, 1, 1, 3, 9, 31, 121, 523, 2469, 12611, 69161, 404663,  
> A045501  Second diagonal in table of binomial recurrence coefficients.  
>  1, 1, 4, 14, 54, 233, 1101, 5625, 30846, 
> A045499  Third diagonal in table of binomial recurrence coefficients. 
>  1, 1, 5, 20, 85, 400, 2046, 11226, 65676, 407787, 2675410, 
> A045500  Fourth diagonal in table of binomial recurrence coefficients. 
>  1, 1, 6, 27, 125, 635, 3488, 20425, 126817, 831915, 5744784, 41618459 
> (AUTHOR of these sequences:  H. W. Gould) 
>  
> The closest thing I can find is Emeric Deutsch's recent triangle A124496,
> 
> in which these sequences appear as columns. 
>  
> The lower half of the table (I guess) must look like this:
> 1, ...
> 1, 1, ...
> 1, 1, 3, ...
> 1, 1, 4, 9, ...
> 1, 1, 5, 14, 31, ...
> 1, 1, 6, 20, 54, 121, ...
> 1, 1, 7, 27, 85, 233, 523, ...
> 1, 1, 8, 35, 125, 400, 1101, 2469, ...
> 1, 1, 9, 44, 175, 635, 2046, 5625, 12611, ...
>  
> Is the complete table in the OEIS?  
> If not, it certainly should be. 
>      Paul