A342360 - OEIS

A342360

Decimal expansion of 1/(Omega+1)^2, where Omega=LambertW(1) is the Omega constant.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..95.

FORMULA

Equals cos(A342359)^4 = 1/(A030178+1)^2 = (1-sqrt(A342361))^2.

Equals Integral_{t=0..1} (-t/LambertW(-1,-t*Omega^omega))^Omega, where omega=1/Omega=1/LambertW(1).

Equals A115287^2. - Vaclav Kotesovec, Mar 12 2021

EXAMPLE

0.40717638729656715790289020473539767731...

MATHEMATICA