A221566 Decimal expansion of b^b^b^..., where b equals e-2 (A001113).

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

Offset: 0

Author

Vladimir Reshetnikov and Robert G. Wilson v, May 05 2013

Keywords

• nonn
• cons

Comments

Inspired by A225053.

Examples

			0.7740443762421488555961742679231259355255256946660397792418950355...
		

Crossrefs

Cf. A225053.

Programs

Mathematica

b = N[E - 2, 128]; f[n_] := Nest[b^# &, b, n]; RealDigits[ f[186], 10, 111][[1]]
RealDigits[ -LambertW[ -Log[E - 2]]/Log[E - 2], 10, 105][[1]]