A323458 Decimal expansion of log(2^(1/2)*3^(1/3) / 6^(1/6)).

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

Offset

0,1

Links

Table of n, a(n) for n=0..99.

Index entries for transcendental numbers

Formula

From Jianing Song, Jan 23 2019: (Start)

Equals (1/6)*log(12) = (1/6)*A016635.

Equals (1/3)*log(2) + (1/6)*log(3) = (1/3)*A002162 + (1/6)*A002391. (End)

Equals Sum_{k>=1} H(2*k-1)/4^k, where H(k) = A001008(k)/A002805(k) is the k-th harmonic number. - Amiram Eldar, May 30 2021

Example

0.4141511082980000517049515799731464734664151377572...

Mathematica

RealDigits[Log[2^(1/2)*3^(1/3) / 6^(1/6)], 10, 101][[1]] (* Georg Fischer, Apr 04 2020 *)

Prog

(PARI) log( 2^(1/2)*3^(1/3) / 6^(1/6) ) \\ Charles R Greathouse IV, May 15 2019

Crossrefs

Suggested by A230191.

Cf. A002162, A002391, A016635.

Cf. A001008, A002805.

Sequence in context: A330571 A318281 A126114 * A074393 A267633 A095666

Adjacent sequences: A323455 A323456 A323457 * A323459 A323460 A323461

Keyword

nonn,cons

Author

N. J. A. Sloane, Jan 20 2019

Extensions

a(99) corrected by Georg Fischer, Apr 04 2020

Status

approved