A052492 Initial pile sizes that guarantee a win for player 2 in a variant of Fibonacci Nim where the players may not take one stone.

2, 3, 4, 5, 6, 9, 10, 15, 16, 24, 25, 38, 39, 59, 60, 90, 91, 137, 138, 207, 208, 312, 313, 470, 471, 707, 708, 1062, 1063, 1595, 1596, 2394, 2395, 3593, 3594, 5391, 5392, 8088, 8089, 12134, 12135, 18203, 18204, 27306, 27307

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Tal Kubo, Generalized Fibonacci Nim.

Example

a(5)=6 because player 1 can't take 1 stone; if player 1 takes 2 stones or more, player 2 grabs the rest.

Crossrefs

Cf. A016741.

Sequence in context: A217348 A319450 A153013 * A339454 A162228 A085714

Adjacent sequences: A052489 A052490 A052491 * A052493 A052494 A052495

Keyword

nonn

Author

Felix Goldberg (sgefelix(AT)t2.technion.ac.il), Mar 16 2000

Status

approved