A277525 Decimal expansion of the fourth derivative of the infinite power tower function x^x^x... at x = 1/2, negated.

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

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Power Tower.

Wikipedia, Tetration.

Example

-1.7296376776755434144759943668608340411378592485876...

Mathematica

f[x_] := -ProductLog[-Log[x]]/Log[x]; RealDigits[Derivative[4][f][1/2], 10, 120][[1]] (* Amiram Eldar, May 23 2023 *)

Crossrefs

Cf. A033917, A104748, A277522, A277523, A277524, A277526, A277527, A277528, A277529, A277530, A277531.

Sequence in context: A216186 A333360 A021936 * A154176 A156547 A180872

Adjacent sequences: A277522 A277523 A277524 * A277526 A277527 A277528

Keyword

nonn,cons

Author

Alois P. Heinz, Oct 19 2016

Status

approved