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A293259 G.f.: Product_{i>0} 1/(Sum_{j>=0} (-1)^j*j!*x^(j*i)). 4
1, 1, 0, 5, -13, 75, -465, 3509, -29492, 276310, -2854776, 32242512, -395295109, 5230184477, -74303722489, 1128399929626, -18245417102767, 313000130900207, -5678742973964699, 108649510570970878, -2186444702147475131, 46169315317847827548 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
Convolution inverse of A293236.
a(n) ~ -(-1)^n * n! * (1 - 2/n - 7/n^3 - 39/n^4 - 272/n^5 - 2457/n^6 - 26443/n^7 - 324675/n^8 - 4453439/n^9 - 67360840/n^10), for coefficients see A293265. - Vaclav Kotesovec, Oct 04 2017
MATHEMATICA
nmax = 30; CoefficientList[Series[Product[1/Sum[(-1)^j*j!*x^(j*k), {j, 0, nmax}], {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 04 2017 *)
CROSSREFS
Sequence in context: A304927 A163732 A208821 * A064169 A294208 A081525
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 04 2017
STATUS
approved

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Last modified May 27 18:18 EDT 2024. Contains 372880 sequences. (Running on oeis4.)