A372426 Decimal expansion of 2 - (log(Pi) - gamma)/log(2).

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

Offset

1,3

Comments

This constant appears in the number of nodes A372424(n)/A372425(n), n->oo, of the tree representing the selection of a single person by the process described in Prodinger (1993), Theorem 8, page 154. See A372422 for more information.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Helmut Prodinger, How to select a loser, Discrete Mathematics, Volume 120, Issues 1-3, 12 September 1993, Pages 149-159.

Example

1.181250047804548352603138224300108200143954604263286572224709682...

Mathematica

First[RealDigits[2 - (Log[Pi] - EulerGamma)/Log[2], 10, 100]] (* Paolo Xausa, Jun 12 2024 *)

Prog

(PARI) 2-(log(Pi)-Euler)/log(2)

Crossrefs

Cf. A000796, A001620, A002162, A372422, A372423, A372424, A372425.

Sequence in context: A010518 A303321 A368146 * A356022 A077464 A088373

Adjacent sequences: A372423 A372424 A372425 * A372427 A372428 A372429

Keyword

nonn,cons

Author

Hugo Pfoertner, May 17 2024

Status

approved