bogus OGF in A002113 (and very many others)

[Joerg Arndt]

so there is hope.
 ;-)
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Date: Mon, 12 May 2008 18:08:44 +0200
From: Joerg Arndt <arndt at jjj.de>
To: zak seidov <zakseidov at yahoo.com>
Cc: njas at research.att.com, seqfan at ext.jussieu.fr, zbi74583 at boat.zero.ad.jp
Subject: Re: Generalized Go Sequence
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Date: Mon, 12 May 2008 20:32:31 +0200
From: Joerg Arndt <arndt at jjj.de>
To: seqfan at ext.jussieu.fr
Subject: A038048 == A110375
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 == (n-1)! * sum {d\n} n/d
 == A038048
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Date: Mon, 12 May 2008 14:57:54 -0400
From: "Mitch Harris" <maharri at gmail.com>
To: "Joerg Arndt" <arndt at jjj.de>
Subject: Re: bogus OGF in A002113 (and very many others)
Cc: "N. J. A. Sloane" <njas at research.att.com>, seqfan at ext.jussieu.fr,
   simon.plouffe at gmail.com, simon.plouffe at sympatico.ca
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On Mon, May 12, 2008 at 10:24 AM, Joerg Arndt <arndt at jjj.de> wrote:
>
>  * N. J. A. Sloane <njas at research.att.com> [May 10. 2008 22:07]:
>
>  > Me:  I agree that many of these are wrong. But are
>  > you so sure A005045 is wrong?
>
>  I cannot test (but hopefully Brendan McKay will be able to help,
>  if not, I'll do a computation).

For http://www.research.att.com/~njas/sequences/A005045, "Number of 3
X 3 matrices with row and column sums n.",

  - it is very plausible that a 'counting matrices with restriction on
row/column' has an ogf
  - the ogf given by Plouffe certainly matches exactly the sequence numbers
  - but for the life of me I cannot get those numbers by hand from the
description, nor can I find the article online.

e.g let n = 1, then I see all row and column sums equal to 1, which is
obviously a permutation matrix and so there must be 6 matrices then,
which is different from the 0 that the OEIS seq gives. So I must be
misunderstanding something.

Mitch