A276635 Decimal expansion of the power tower of 1/(2*Pi): the real solution to (2*Pi)^x*x = 1.

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

Offset: 0

Author

Ilya Gutkovskiy, Sep 08 2016

Keywords

• nonn
• cons

Examples

			(1/(2*Pi))^(1/(2*Pi))^(1/(2*Pi))^... = 0.443001457438838056674419269992719...
		

Links

• Eric Weisstein's World of Mathematics, Plouffe's Constants
• Eric Weisstein's World of Mathematics, Power Tower
• Eric Weisstein's World of Mathematics, Lambert W-Function

Crossrefs

Cf. A019692, A073243, A061444, A086201.

Programs

Mathematica

RealDigits[ProductLog[Log[2 Pi]]/Log[2 Pi], 10, 120][[1]]

Formula

Equals LambertW(log(2*Pi))/log(2*Pi).

Equals exp(-LambertW(A061444)).