A071453 Sprague-Grundy values for octal game .117.

1, 1, 1, 0, 2, 2, 1, 3, 4, 0, 1, 1, 1, 3, 2, 2, 2, 3, 4, 0, 1, 5, 4, 3, 2, 2, 2, 3, 1, 0, 1, 0, 4, 3, 2, 2, 2, 0, 1, 0, 1, 0, 4, 3, 2, 5, 4, 0, 1, 0, 1, 0, 2, 3, 2, 3, 4, 0, 1, 0, 1, 3, 2, 3, 2, 3, 4, 0, 1, 0, 4, 3, 2, 3, 2, 3, 1, 0, 1, 0, 4, 3, 2, 3, 2, 0, 1, 0, 1, 0, 4, 3, 2, 3, 4, 0, 1, 0, 1, 0, 2, 3, 2, 3, 4

Offset: 1

Author

N. J. A. Sloane and Sue Pope, May 29 2002

Keywords

• nonn

Comments

Octal games .051 and .053 have values a(n-1).

Sequence is eventually periodic with period 48. The only exceptions are n=2, 6, 7, 12, 16, 22, 26, 36 and 46.

References

• E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 104.

Links

• Achim Flammenkamp, Octal games
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Extensions

Edited and extended by Christian G. Bower, Nov 11 2002