A277530 Decimal expansion of the ninth derivative of the infinite power tower function x^x^x... at x = 1/2.

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

Offset

6,1

Links

Alois P. Heinz, Table of n, a(n) for n = 6..1005

Eric Weisstein's World of Mathematics, Power Tower.

Wikipedia, Tetration.

Example

844617.08671093611975158207114938322395461002...

Mathematica

f[x_] := -ProductLog[-Log[x]]/Log[x]; RealDigits[Derivative[9][f][1/2], 10, 120][[1]] (* Amiram Eldar, May 23 2023 *)

Crossrefs

Cf. A033917, A104748, A277522, A277523, A277524, A277525, A277526, A277527, A277528, A277529, A277531.

Sequence in context: A131921 A129105 A226276 * A021546 A153620 A247510

Adjacent sequences: A277527 A277528 A277529 * A277531 A277532 A277533

Keyword

nonn,cons

Author

Alois P. Heinz, Oct 19 2016

Status

approved