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

Author

Rick L. Shepherd, Jul 29 2002

Keywords

• cons
• nonn

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

Examples

			0.13516870162052962769995812823...
		

Links

• 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.

Crossrefs

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

Programs

Mathematica

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

PARI

log(log(Pi))