[seqfan] An integer sequence related to asymptotic behavior of the sine and cosine integrals

[Vladimir Reshetnikov]

Dear SeqFans,

I found the following sequence related to asymptotic behavior of the sine
and cosine integrals:

1, 1, -13, 461, -29093, 2829325, -392743957, 73943424413, -18176728317413, ...

Except a few first terms, all other terms are only conjectures so far
(I'm not even sure they all are exact integers, although it appears
so). For more details, see:

h <goog_1462977391>ttp://math.stackexchange.com/q/1780026/19661http://gist.githubusercontent.com/VladimirReshetnikov/c42a99d3e92d9de45bfe9b713459340b/raw/e856b11e561b11fe46363c7acef2cfb5aef6bd7f/Coefficients

Please let me know if you have any ideas how to find a general formula for them.

--ThanksVladimir Reshetnikov