[seqfan] Identities for the Riemann zeta function gives same first 10 values as A090582

Jonathan Post jvospost3 at gmail.com
Tue Dec 16 04:57:59 CET 2008


If I enter the start of the sequence of numerators of the polynomials,
i.e. by rows of the triangle,
from page 7 of the pdf of
Identities for the Riemann zeta function
Authors: Michael O. Rubinstein
http://arxiv.org/abs/0812.2592

I get:

1,2,-1,6,-6,1,24,-36,14,-1

and, up to there, it's the same as
A090582  	 	Numerator Q(m,n) of probability P(m,n)=Q(m,n)/n^m to see
each card at least once if m>=n cards are drawn with replacement from
a deck of n cards, written in a two-dimensional array read by
antidiagonals with Q(m,m) as first row and Q(m,1) as first column.

Law of small numbers, or do the recurrences match?

Best,

Jonathan Vos Post




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