Fw: Extending A053169?

David Wilson davidwwilson at comcast.net
Fri Aug 17 03:55:37 CEST 2007


I am forwarding this message for reconsideration by seqfan.

The comments on A000061 ask for a definition.
I pointed out a reference that may provide such a definition, however, no 
one has taken up the banner.
I don't have access to the literature.

----- Original Message ----- 
From: "David Wilson" <davidwwilson at comcast.net>
To: <njas at research.att.com>; <seqfan at ext.jussieu.fr>
Cc: <jonscho at hiwaay.net>; <njas at research.att.com>
Sent: Saturday, May 26, 2007 10:32 AM
Subject: Re: Extending A053169?


> If you look at http://mathworld.wolfram.com/TangentNumber.html
>
> A000061 seems to be the first elements of the sequences given in the table 
> at the bottom of the article, which, in the nomenclature of the article, 
> would translate to A000061(n) = d(n, 1) where d(a,n) is defined in 
> equation (4) which is lifted from the Shanks reference. Unfortunately, (4) 
> involves a Dirichlet series, with which I have little familiarity.
>
> ----- Original Message ----- 
> From: "N. J. A. Sloane" <njas at research.att.com>
> To: <seqfan at ext.jussieu.fr>
> Cc: <jonscho at hiwaay.net>; <njas at research.att.com>
> Sent: Saturday, May 26, 2007 8:51 AM
> Subject: Re: Extending A053169?
>
>
>> It would be nice to have a more precise
>> definition of A000061, which has been in the OEIS
>> since the punched card days.
> 






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