[seqfan] Woodcock "a two variable Riemann zeta function"
Richard Mathar
mathar at strw.leidenuniv.nl
Tue Mar 13 13:25:43 CET 2012
Defined in JNT 27 (1987) 212-221 in the Woodcock article: a square array
of A_{m,n}^* fractions
(-1)^m*A_{m,n}^* = (-1)^(m+n+1)/(n+1)*sum_{r=0.. floor (n+1)/2}
* binomial(n+1,2r)B_{m+n+1-2r}B_{2r}+(-1)^(m+n)/(n+1)*B_m *B_{n+1+
+- (-1)^(m+n+1)*B_{m+n})/2
where B are the Bernoullin numbers, and where the minus sign in the "+-"
is taken iff n=0.
columns n=0,1,1,2,3,, rows m=0,1,2,:
1/2 -1/6 0 1/30 0 -1/42 0 1/30
-1/6 1/12 -1/60 -1/60 1/84 1/84 -1/60 -1/60
0 -1/60 1/60 -1/420 -1/84 1/140 1/60 -13/660
1/30 -1/60 -1/420 1/84 -1/420 -1.60 7/660 5/132
Is this already in the OEIS?
More information about the SeqFan
mailing list