A372861 Decimal expansion of (1 + log(16))/256.

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

Offset

0,2

Links

Table of n, a(n) for n=0..84.

Index entries for transcendental numbers

Formula

Equals Integral_{x=2..oo} log(x)/x^5 dx.

Example

0.0147366746962491454596442518977840088761796895993...

Mathematica

s = Integrate[Log[x]/x^5, {x, 2, Infinity}]
d = N[s, 100]
Join[{0}, First[RealDigits[d]]]
N[1/256  (1 + Log[16]), 100]

Prog

(PARI) (log(16)+1)/256 \\ Charles R Greathouse IV, Nov 21 2024

Crossrefs

Cf. A372858, A372859, A372860.

Sequence in context: A198743 A271798 A190357 * A296499 A199446 A100127

Adjacent sequences: A372858 A372859 A372860 * A372862 A372863 A372864

Keyword

nonn,cons

Author

Clark Kimberling, Jun 12 2024

Status

approved