New web page for adding something, including more terms

[N. J. A. Sloane]

send in the extension terms, the %H line, etc.,
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Date: Mon, 4 Aug 2008 11:55:46 -0700
From: "Jonathan Post" <jvospost3 at gmail.com>
To: SeqFan <seqfan at ext.jussieu.fr>
Subject: Sum of reciprocals of double factorials
Cc: "Dr. George Hockney" <george.hockney at jpl.nasa.gov>
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Is this worth adding to OEIS?

Sum of reciprocals of double factorials
(2 seqs "frac" for numerators and denominators)

SUM[i=0..n] 1/A006882(i)

n   numerator/denominator
0   1/0!! = 1/1
1   1/0!! + 1/1!! = 2/1
2   1/0!! + 1/1!! + 1/2!! = 5/2
3   1/0!! + 1/1!! + 1/2!! + 1/3!! = 17/6
4   1/0!! + 1/1!! + 1/2!! + 1/3!! + 1/4!! = 71/24
5   1/0!! + 1/1!! + 1/2!! + 1/3!! + 1/4!! + 1/5!! = 121/40
6   1/0!! + 1/1!! + 1/2!! + 1/3!! + 1/4!! + 1/5!! + 1/6!! = 731/240
7   1/0!! + 1/1!! + 1/2!! + 1/3!! + 1/4!! + 1/5!! + 1/6!! + 1/7!! =
1711/560 ~ 3.0553571
8   1/0!! + 1/1!! + 1/2!! + 1/3!! + 1/4!! + 1/5!! + 1/6!! + 1/7!! +
1/8!! = 41099/13440 ~ 3.05796131

The series obviously converges (being of order 1/n^2).

This is to double factorials A006882 as A007676/A007677is to factorial.

The WIMS continued fraction online calculator seems to be unavailable
at the moment, O i've stopped with the above by-hand draft.

If this is of interest, then there would be an array A[k,n] = nth
convergent to sum of reciprocals of the k-th multiple factorial, using
the correct definitions by njas, Robert G. Wilson v, Mira Bernstein of
k-th multiple factorial.

What is the real number to which the sum of reciprocals of double
factorials converges?

What are the real numbers to which the sum of reciprocals of double
factorials converges?