[seqfan] Re: A033473

franktaw at netscape.net franktaw at netscape.net
Mon Feb 17 01:38:11 CET 2014


I would definitely favor "Numerator of", and add the denominator 
sequence, too. Exact fractional values are much more interesting than 
rounded values.

Franklin T. Adams-Watters

-----Original Message-----
From: M. F. Hasler <seqfan at hasler.fr>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Sun, Feb 16, 2014 6:28 pm
Subject: [seqfan] Re: A033473


On Sun, Feb 16, 2014 at 6:40 PM, <israel at math.ubc.ca> wrote:

> According to Maple, A033473 is not an integer sequence: the first few
> non-integer terms given by the formula (2*n+1)!*8*bernoulli(2*n,1/2) 
are
> for n = 15, 23, 27, 29, 30, 31, 39, 43, 45, 46, 47, the corresponding
> denominators being 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 4.
>


PARI (& me) agree.

I propose to change the name to "Nearest integer to ..."
But "Floor ..." or "Numerator of ..." would also leave the integer terms
invariant.

Maximilian

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