A379933
Expansion of e.g.f. 1/( exp(-x) - x )^2.
Original entry on oeis.org
1, 4, 22, 158, 1408, 15002, 186100, 2634998, 41937136, 741170834, 14402727484, 305225470046, 7005711916840, 173134991854970, 4583675648417044, 129424786945875398, 3882446011526729440, 123304773913531035170, 4133369745467043807340, 145840627118145774415214
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(exp(-x)-x)^2))
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a(n) = n!*sum(k=0, n, (k+1)*(k+2)^(n-k)/(n-k)!);
A379943
Expansion of e.g.f. 1/( exp(-x) - x )^4.
Original entry on oeis.org
1, 8, 76, 844, 10776, 155844, 2520856, 45125924, 886037216, 18938440324, 437820992136, 10886467502244, 289738784758096, 8218731027307844, 247539834718198136, 7889896358130120484, 265325716114102815936, 9388476560982511842564, 348703400008471862936296
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(exp(-x)-x)^4))
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a(n) = n!*sum(k=0, n, (k+4)^(n-k)*binomial(k+3, 3)/(n-k)!);
A379990
Expansion of e.g.f. exp(-2*x)/(exp(-x) - x)^3.
Original entry on oeis.org
1, 4, 25, 205, 2065, 24601, 337837, 5249581, 91006657, 1740663937, 36402220141, 826159146253, 20220201899377, 530828186303377, 14878044338021677, 443397290411503021, 14000282854007503105, 466866129420834410881, 16395362179348570608205, 604794784980600986425645
Offset: 0
A379991
Expansion of e.g.f. exp(-x)/(exp(-x) - x)^3.
Original entry on oeis.org
1, 5, 34, 293, 3052, 37247, 520918, 8211065, 143997160, 2780465147, 58611713434, 1339236707525, 32969142927580, 869913580853735, 24490615055384062, 732751463209179953, 23217990692393685712, 776689510407852177011, 27353286267329098887202
Offset: 0
Showing 1-4 of 4 results.