A330075 Expansion of e.g.f. Product_{k>=1} (1 - log(1 - x^k) / k).

1, 1, 2, 7, 32, 168, 1184, 8622, 77216, 747576, 8185392, 93054960, 1264465872, 16974221184, 254355732864, 4069961945280, 70258008510720, 1228263760984320, 24025502406873600, 470522155226595840, 10095034628228958720, 222277023267825254400, 5144511652272759029760

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

E.g.f.: Product_{j>=1} (1 + Sum_{i>=1} x^(i*j) / (i*j)).

Mathematica

nmax = 22; CoefficientList[Series[Product[1 - Log[1 - x^k]/k, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
nmax = 22; CoefficientList[Series[Product[(1 + Sum[x^(i j)/(i j), {i, 1, nmax}]), {j, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A000262, A178682, A330074.

Sequence in context: A366400 A226269 A006781 * A115197 A107593 A125277

Adjacent sequences: A330072 A330073 A330074 * A330076 A330077 A330078

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 30 2019

Status

approved