A372480 Positions of local maxima of the probability that there will be a survivor in "group Russian roulette" as a function of initial group size.

3, 11, 30, 84, 229, 623, 1695, 4608

Offset

1,1

Comments

For initial group size N -> oo, the probability p that one person survives approaches a function 0.477449... <= p(N) <= 0.515428... with period 1 on a logarithmic scale.

References

Peter Winkler, Mathematical Puzzles: A Connoisseur's Collection, AK Peters/CRC Recreational Mathematics Series, 2005.

Links

Table of n, a(n) for n=1..8.

Tim van de Brug, Wouter Kager, and Ronald Meester, The asymptotics of group Russian roulette, arXiv:1507.03805 [math.PR], 1 May 2017.

Mathematics StackExchange, Group Russian Roulette, Sep 15 - Oct 10 2017.

Formula

Limit_{n->oo} a(n+1)/a(n) = e.

Crossrefs

Cf. A372481.

Sequence in context: A167375 A098150 A346848 * A330148 A085376 A196233

Adjacent sequences: A372477 A372478 A372479 * A372481 A372482 A372483

Keyword

nonn,more

Author

Hugo Pfoertner, May 03 2024

Status

approved