A277526 Decimal expansion of the fifth derivative of the infinite power tower function x^x^x... at x = 1/2.

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

Offset

2,1

Links

Alois P. Heinz, Table of n, a(n) for n = 2..1001

Eric Weisstein's World of Mathematics, Power Tower.

Wikipedia, Tetration.

Example

49.2859076375851017760335178789285712579571478...

Mathematica

f[x_] := -ProductLog[-Log[x]]/Log[x]; RealDigits[Derivative[5][f][1/2], 10, 120][[1]] (* Amiram Eldar, May 23 2023 *)

Crossrefs

Cf. A033917, A104748, A277522, A277523, A277524, A277525, A277527, A277528, A277529, A277530, A277531.

Sequence in context: A197146 A021207 A200094 * A196505 A203816 A070437

Adjacent sequences: A277523 A277524 A277525 * A277527 A277528 A277529

Keyword

nonn,cons

Author

Alois P. Heinz, Oct 19 2016

Status

approved