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

1,3

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).

Crossrefs

Sequence in context: A071859 A135695 A105899 * A366549 A227314 A356321

Adjacent sequences: A071431 A071432 A071433 * A071435 A071436 A071437

Keyword

nonn

Author

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

Extensions

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

Status

approved