A073365 Decimal expansion of log(log(Pi)).

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

Offset

0,2

Comments

Cheng, Dietel, Herblot, Huang, Krieger, Marques, Mason, Mereb, & Wilson show, expanding a remark by S. Lang, that Schanuel's conjecture implies that this constant and Pi are algebraically independent over a set E which includes the algebraic numbers and (in a technical sense) allows any finite number of exponentiations, see the paper for details and a still more general result. - Charles R Greathouse IV, Dec 16 2019

Links

Table of n, a(n) for n=0..103.

Chuangxun Cheng, Brian Dietel, Mathilde Herblot, Jingjing Huang, Holly Krieger, Diego Marques, Jonathan Mason, Martin Mereb, S. Robert Wilson, Some consequences of Schanuel's conjecture, Journal of Number Theory 129:6 (2009), pp. 1464-1467.

Example

0.13516870162052962769995812823...

Mathematica

RealDigits[Log[Log[Pi]], 10, 120][[1]] (* Harvey P. Dale, Mar 11 2017 *)

Prog

(PARI) log(log(Pi))

Crossrefs

Cf. A000796 (Pi), A053510 (log(Pi)), A053511 (log_10(Pi)).

Sequence in context: A333336 A061649 A237603 * A316152 A302204 A065077

Adjacent sequences: A073362 A073363 A073364 * A073366 A073367 A073368

Keyword

cons,nonn

Author

Rick L. Shepherd, Jul 29 2002

Status

approved