A371549 Expansion of e.g.f. Product_{k>=1} 1 / (1 - mu(k)^2*x^k/k!).

1, 1, 3, 10, 46, 241, 1557, 11131, 92212, 840024, 8542993, 94539006, 1144279566, 14919897227, 209774942457, 3151449855040, 50530826165712, 859682757161697, 15490902162445818, 294439841770813162, 5891955981426042936, 123754936144549505365, 2723338451934477621489

Offset

0,3

Links

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

Formula

a(n) ~ c * n!, where c = Product_{k>=2} 1/(1 - mu(k)^2 / k!) = 2.424015771296779544901862396932865784522634598161012752425646675020312449... - Vaclav Kotesovec, Mar 28 2024

Mathematica

nmax = 22; CoefficientList[Series[Product[1/(1 - MoebiusMu[k]^2 x^k/k!), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A005117, A005651, A008683, A073576, A294531, A351991, A371550.

Sequence in context: A270493 A121138 A355050 * A074508 A143500 A058112

Adjacent sequences: A371546 A371547 A371548 * A371550 A371551 A371552

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 27 2024

Status

approved