Logarithmic numbers

[Creighton Dement]

Dear Seqfans, 

What could the formula be for this sequence? (warning: the last number
given could be wrong)

0, 0, 1, 3, 18, 70, 555, 2961, 31108, 213228, 2799765, 23455135,
369569046, 3659001138, 67261566463, 768390239085, 16142775951240

My version of Maple only returns "[0, egf]". 

It appears alongside the (unsigned) Logarithmic numbers
http://public.research.att.com/~njas/sequences/A002747 

as well as 

http://public.research.att.com/~njas/sequences/A007526


A batch of sequences "related" to the sequences given above (I will
happily explain more if upon request) gave me the rare opportunity to
set up a conjectured relation between sequences with exponential
generating functions using floretion identities. I will submit this
comment in a few moments:
 
Prepend A000240 with 0, i.e. define A000240(0) = 0. 
 
 Then 2*A009574(n) - A000240(n) = 
 2*(0, 1, 1, 3, -2, 25, -129, 931, -7412, 66753, -667475) - 
 (0, 1, 0, 3, 8, 45, 264, 1855, 14832, 133497, 1334960) = n 
 
 
 (Identity used: dia[J]tes = dia[J] + tes )
 
 A009574: Expansion of sinh(ln(1+x)).exp(x).
 A000240: Rencontres numbers: permutations with exactly one fixed point.

 
 
 Final somewhat sad note: There is a chance my site
http://www.crowdog.de may be closing down within the next few weeks
because it's become to expensive to maintain. If so, I hope I will be
able to find a nice alternative!
 
 Sincerely, 
 Creighton 


It's a shame when the girl of your dreams would still rather be with
someone else when you're actually in a dream.