A266756 Nim value of subtraction game S(2,5,7) with a heap of n beans.

0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2

Offset

0,6

Comments

Periodic with period-length 22: repeat {0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2}.

References

R. K. Guy, Fair Game: How to play impartial combinatorial games, COMAP's Mathematical Exploration Series, 1989; see p. 38.

Links

Table of n, a(n) for n=0..131.

Mathematica

PadRight[{}, 120, {0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2}] (* Vincenzo Librandi, Jan 11 2016 *)

Prog

(Magma) &cat[[0, 0, 1, 1, 0, 2, 1, 3, 2, 2, 0, 3, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2]^^5]; // Vincenzo Librandi, Jan 11 2016

Crossrefs

Sequence in context: A141675 A248809 A021473 * A035181 A035151 A290536

Adjacent sequences: A266753 A266754 A266755 * A266757 A266758 A266759

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 03 2016

Status

approved