A372859 Decimal expansion of (1 + log(4))/16.

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

Offset

0,2

Links

Table of n, a(n) for n=0..85.

Index entries for transcendental numbers

Formula

Equals Integral_{x=2..oo} log(x)/x^3 dx.

Example

0.149143397569993163677154015182272071009437516795031...

Mathematica

s = Integrate[Log[x]/x^3, {x, 2, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[1/16  (1 + Log[4]), 100]

Prog

(PARI) (log(4)+1)/16 \\ Charles R Greathouse IV, Nov 21 2024

Crossrefs

Cf. A372858, A372860, A372861.

Sequence in context: A011290 A196502 A378391 * A129971 A007892 A010297

Adjacent sequences: A372856 A372857 A372858 * A372860 A372861 A372862

Keyword

nonn,cons

Author

Clark Kimberling, Jun 09 2024

Status

approved