Sue Pope - cp's OEIS frontend

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

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

nonn

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.

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

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).

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

A071447 Sprague-Grundy values for octal game .1137.

Original entry on oeis.org

1, 1, 1, 2, 0, 2, 3, 1, 1, 4, 0, 4, 5, 1, 3, 2, 0, 2, 1, 1, 1, 4, 0, 2, 6, 1, 6, 4, 0, 4, 1, 1, 1, 2, 0, 2, 6, 1, 5, 4, 0, 4, 6, 1, 3, 2, 0, 2, 1, 1, 1, 8, 0, 2, 6, 1, 6, 4, 0, 4, 1, 1, 1, 2, 0, 2, 6, 1, 1, 4, 0, 4, 6, 1, 3, 2, 0, 2, 1, 1, 1, 4, 0, 2, 6, 1, 6, 4, 0, 4, 1, 1, 1, 2, 0, 2, 6, 1, 5, 4, 0, 4, 6, 1, 3

Offset: 1

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

nonn

Octal game .017 has values a(n-1).

Sequence is eventually periodic with period 60. The only exceptions are n=0, 7 and 13.

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

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

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

A071460 Sprague-Grundy values for octal game .116.

Original entry on oeis.org

1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 4, 4, 1, 5, 2, 4, 1, 1, 2, 0, 4, 1, 2, 0, 4, 1, 1, 5, 4, 4, 2, 5, 2, 0, 2, 1, 5, 4, 4, 8, 5, 8, 2, 8, 2, 5, 2, 4, 10, 1, 10, 0, 10, 5, 2, 4, 2, 5, 1, 1, 4, 0, 5, 1, 2, 0, 2, 1, 1, 4, 10, 5, 1, 4, 2, 0, 1, 1, 2, 0, 10, 1, 2, 0, 10, 1, 1, 8, 9, 8, 1, 8, 2, 0, 1, 1, 2, 0, 10, 1, 2

Offset: 1

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

nonn

The sequence is eventually periodic with period 96. The last exception is at n=138. - Richard Sabey, Jan 24 2007

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

Richard Sabey, Table of n, a(n) for n = 1..234
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, 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, 0, 1).

More terms from Richard Sabey, Jan 24 2007

Edited by N. J. A. Sloane, Jul 03 2008 at the suggestion of R. J. Mathar

A071427 Sprague-Grundy values for octal game .1337.

Original entry on oeis.org

1, 1, 2, 2, 0, 3, 1, 1, 2, 2, 3, 3, 4, 4, 0, 5, 3, 3, 4, 2, 2, 1, 1, 3, 0, 2, 2, 1, 1, 4, 4, 5, 5, 2, 6, 4, 7, 5, 8, 1, 2, 2, 0, 3, 1, 1, 2, 2, 3, 3, 4, 8, 1, 5, 5, 3, 3, 10, 2, 1, 9, 3, 0, 2, 2, 5, 9, 4, 4, 8, 11, 2, 6, 4, 4, 8, 8, 6, 6, 2, 0, 3, 11, 6, 2, 2, 3, 3, 11, 5, 1, 9, 9, 7, 3, 10, 1, 1, 9, 3

Offset: 1

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

nonn

Octal game .036 and .037 have values a(n-1). Octal games .06, .061, .062 and .063 have values a(n-2).

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

Eric M. Schmidt, Table of n, a(n) for n = 1..10000
Achim Flammenkamp, Octal games

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

A071429 Sprague-Grundy values for octal game .14.

Original entry on oeis.org

1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 4, 1, 4, 4, 1, 2, 2, 1, 2, 0, 1, 0, 4, 1, 2, 6, 1, 6, 4, 1, 4, 0, 1, 0, 2, 1, 2, 6, 1, 4, 4, 1, 4, 6, 1, 2, 2, 1, 2, 0, 1, 0, 8, 1, 6, 6, 1, 6, 4, 1, 4, 0, 1, 0, 2, 1, 2, 2, 1, 0, 4, 1, 4, 6, 1, 6, 2, 1, 2, 0, 1, 0, 8, 1, 2, 6, 1, 6, 4, 1, 4, 0, 1, 0, 2, 1, 2, 6, 1, 0, 4

Offset: 1

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

nonn

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

Eric M. Schmidt, Table of n, a(n) for n = 1..10000
Achim Flammenkamp, Octal games

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

A071430 Sprague-Grundy values for octal game .16.

Original entry on oeis.org

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

Offset: 1

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

nonn

Sequence is eventually periodic with period 149459. The last exception is at n=105350.

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 102
E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Second Edition, Vol. 1, A K Peters, 2001, pp. 102, 109.
A. Gangolli and T. Plambeck, A Note on Periodicity in Some Octal Games, International Journal of Game Theory, Vol. 18 (1989), pp. 311-320.

Eric M. Schmidt, Table of n, a(n) for n = 1..10000
Achim Flammenkamp, Octal games

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

A071432 Sprague-Grundy values for octal games .36 and .361.

Original entry on oeis.org

1, 0, 2, 1, 0, 2, 1, 3, 2, 1, 3, 2, 4, 3, 0, 4, 3, 2, 4, 1, 2, 3, 1, 2, 0, 1, 2, 4, 1, 5, 4, 1, 5, 4, 1, 5, 2, 1, 0, 2, 1, 3, 2, 1, 3, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 0, 3, 2, 4, 8, 5, 4, 3, 5, 4, 6, 5, 2, 6, 5, 2, 1, 3, 2, 1, 3, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 0, 3, 2, 4, 3, 5, 4, 3, 5, 4

Offset: 1

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

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, p. 106.

Eric M. Schmidt, Table of n, a(n) for n = 1..10000
Achim Flammenkamp, Octal games

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

A071433 Sprague-Grundy values for octal game .37.

Original entry on oeis.org

1, 2, 0, 1, 2, 3, 1, 2, 3, 4, 0, 3, 4, 2, 1, 3, 2, 1, 0, 2, 1, 4, 5, 1, 4, 5, 1, 2, 0, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 1, 0, 2, 8, 4, 5, 3, 4, 5, 6, 2, 5, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 0, 2, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 0, 2, 3, 4, 5, 3

Offset: 1

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

Octal games .6, .601, .61, .611, .62, .621, .63, .631 (Officers) have values a(n-1).

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982; see Chapter 4, pp. 96, 102.
E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Second Edition, Vol. 1, A K Peters, 2001, pp. 102, 109.

Eric M. Schmidt, Table of n, a(n) for n = 1..10000
I. Caines et al., Periods in taking and splitting games, Amer. Math. Monthly, 106 (1999), 359-361.
Achim Flammenkamp, Octal games

a(n) = A046695(n+1).

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

A071434 Sprague-Grundy values for octal game .1377.

Original entry on oeis.org

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

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

nonn

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.

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

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).

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

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

A071435 Sprague-Grundy values for octal game .177.

Original entry on oeis.org

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

Offset: 1

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

nonn

Octal games .450-.453 and .470-.473 have values a(n-1).

Sequence is eventually periodic with period 20. The last exception is at n=496.

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

Eric M. Schmidt, Table of n, a(n) for n = 1..1000
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, 1).

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

cp's OEIS Frontend

User: Sue Pope

A071453 Sprague-Grundy values for octal game .117.

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A071447 Sprague-Grundy values for octal game .1137.

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A071460 Sprague-Grundy values for octal game .116.

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A071427 Sprague-Grundy values for octal game .1337.

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A071429 Sprague-Grundy values for octal game .14.

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A071430 Sprague-Grundy values for octal game .16.

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A071432 Sprague-Grundy values for octal games .36 and .361.

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A071433 Sprague-Grundy values for octal game .37.

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A071434 Sprague-Grundy values for octal game .1377.

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A071435 Sprague-Grundy values for octal game .177.

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