[seqfan] Re: Invalid Reference in A147316?
Charles Greathouse
charles.greathouse at case.edu
Tue Nov 25 01:08:56 CET 2014
It looks like sequence A147316 was retired in favor of A000045 on Feb 05
2011. The original sequence was:
A000045 Fibonacci mirror sequence Binet: f(n)=(1/5)*2^(-n) ((5 - 2
*Sqrt[5]) (1 + Sqrt[5])^n + (1 - Sqrt[5])^n(5 + 2 * Sqrt[5])).
1597, -987, 610, -377, 233, -144, 89, -55, 34, -21, 13, -8, 5, -3, 2, -1,
1, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597
which appears to be a shifted version of A000045, the Fibonacci numbers.
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Mon, Nov 24, 2014 at 4:37 PM, Paul D Hanna <pauldhanna at juno.com> wrote:
> SeqFans,
> Does the following reference truly involve http://oeis.org/A147316
> ?
> (It states that it does at the end of the paper.)
>
> Philipp Fahr and Claus Michael Ringel, Categorification of the Fibonacci
> Numbers Using Representations of Quivers,
> http://www.mathematik.uni-bielefeld.de/~ringel/opus/fr-zwei.pdf
>
> I do not see where the sequence A147316 is actually generated by any
> process in the paper - am I missing something?
>
> The sequence number may be a typo, in which case it would be nice if the
> correct sequence had that reference.
> Thanks,
> Paul
>
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