A071434 Sprague-Grundy values for octal game .1377.

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

Offset: 1

Author

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

Keywords

• nonn

Comments

Octal games .074-.077 have values a(n-1). Octal games .440-.443 and .460-.463 have values a(n-2).

Sequence is eventually periodic with period 24. The last exception is at n=140.

References

• E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 102.

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..200
• 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, 1).

Formula

a(2n-1) = a(2n) = A002186(n).

Extensions

Edited and extended by Christian G. Bower, Oct 22 2002