A238258 Decimal expansion of a constant related to A002465.

3, 0, 8, 8, 2, 7, 7, 3, 0, 4, 7, 4, 1, 7, 4, 0, 1, 7, 9, 1, 1, 5, 8, 4, 0, 0, 8, 2, 0, 2, 5, 4, 3, 8, 2, 7, 6, 8, 3, 6, 4, 4, 4, 8, 9, 7, 1, 4, 2, 0, 1, 3, 8, 7, 6, 7, 2, 4, 7, 7, 3, 0, 1, 2, 1, 7, 6, 5, 1, 6, 8, 1, 2, 7, 8, 8, 2, 6, 6, 6, 6, 9, 5, 2, 0, 3, 2, 7, 1, 1, 3, 0, 9, 6, 1, 9, 4, 6, 0, 0, 9, 7, 3, 0, 9

Offset

1,1

Links

Table of n, a(n) for n=1..105.

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p.249

Formula

Equals lim n->infinity (A002465(n)/(n-1)!)^(1/n).

Equals -2 / (LambertW(-2*exp(-2)) * (2 + LambertW(-2*exp(-2)))).

Equals -2 / (A226775 * (2 + A226775)).

Example

3.08827730474174017911584...

Mathematica

RealDigits[N[-2/LambertW[-2/E^2]/(2+LambertW[-2/E^2]), 105]][[1]]

Crossrefs

Cf. A002465, A238260, A187235, A226775, A342110.

Sequence in context: A201580 A234518 A068458 * A011082 A189969 A021768

Adjacent sequences: A238255 A238256 A238257 * A238259 A238260 A238261

Keyword

nonn,cons

Author

Vaclav Kotesovec, Feb 21 2014

Status

approved