A052808 -id:A052808 - cp's OEIS frontend

A331558 E.g.f.: log(1 - x - log(1 - x)).

0, 1, 2, 3, 4, 20, 216, 1862, 13840, 104904, 949200, 10517232, 130307904, 1694503824, 23063845728, 335427395760, 5269616092416, 88835797577472, 1587229554415104, 29838489410093184, 589394278657267200, 12235109311726689024, 266570965998899071488

Offset: 1

Ilya Gutkovskiy, Jan 20 2020

nonn

Logarithmic transform applied twice to A000166.

Cf. A000166, A052808, A089064, A331559.

nmax = 23; CoefficientList[Series[Log[1 - x - Log[1 - x]], {x, 0, nmax}], x] Range[0, nmax]! // Rest

A331559 E.g.f.: -log(1 + x + log(1 - x)).

Original entry on oeis.org

0, 1, 2, 9, 44, 280, 2064, 17738, 172528, 1880856, 22686960, 300193872, 4323063744, 67323469200, 1127433161568, 20205636981840, 385897245967104, 7824675262660608, 167885148101916672, 3800289634376282496, 90513807325761507840, 2262830879094971399424

Offset: 1

Ilya Gutkovskiy, Jan 20 2020

nonn

Logarithmic transform of A226226.

Cf. A003713, A032181, A052808, A052832, A226226, A331558.

nmax = 22; CoefficientList[Series[-Log[1 + x + Log[1 - x]], {x, 0, nmax}], x] Range[0, nmax]! // Rest

a(n) ~ (n-1)! / (1 + LambertW(-exp(-2)))^n. - Vaclav Kotesovec, Jan 26 2020

cp's OEIS Frontend

A331558 E.g.f.: log(1 - x - log(1 - x)).

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