A004481 -id:A004481 - cp's OEIS frontend

A004484 Sprague-Grundy values for game of Wyt Queens.

3, 4, 5, 6, 2, 0, 1, 9, 10, 12, 8, 7, 15, 11, 16, 18, 14, 13, 21, 17, 22, 24, 20, 19, 27, 23, 28, 30, 26, 25, 33, 29, 34, 36, 32, 31, 39, 35, 40, 42, 38, 37, 45, 41, 46, 48, 44, 43, 51, 47, 52, 54, 50, 49, 57, 53, 58, 60, 56, 55, 63, 59

Offset: 0

N. J. A. Sloane

Inverse of sequence A064206 considered as a permutation of the nonnegative integers. - Howard A. Landman, Sep 25 2001

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.

A. Dress, A. Flammenkamp and N. Pink, Additive periodicity of the Sprague-Grundy function of certain Nim games, Adv. Appl. Math., 22, pp. 249-270 (1999).
Index entries for sequences that are permutations of the natural numbers
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,-1).

This sequence is row 3 of table A004481.

Conjectures from Chai Wah Wu, Apr 05 2021: (Start)
a(n) = a(n-1) + a(n-6) - a(n-7) for n > 14.
G.f.: (4*x^14 - 12*x^13 + 7*x^12 + x^11 + x^9 + 7*x^7 - 2*x^6 - 2*x^5 - 4*x^4 + x^3 + x^2 + x + 3)/(x^7 - x^6 - x + 1). (End)

More terms from Howard A. Landman

A004485 Sprague-Grundy values for game of Wyt Queens.

Original entry on oeis.org

4, 5, 3, 2, 7, 6, 9, 0, 1, 8, 13, 12, 11, 16, 15, 10, 19, 18, 17, 14, 21, 20, 25, 24, 23, 28, 27, 22, 31, 30, 29, 26, 33, 32, 37, 36, 35, 40, 39, 34, 43, 42, 41, 38, 45, 44, 49, 48, 47, 52, 51, 46, 55, 54, 53, 50, 57, 56, 61, 60, 59, 64

Offset: 0

N. J. A. Sloane

Inverse of sequence A064207 considered as a permutation of the nonnegative integers. - Howard A. Landman, Sep 25 2001

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.

A. Dress, A. Flammenkamp and N. Pink, Additive periodicity of the Sprague-Grundy function of certain Nim games, Adv. Appl. Math., 22, pp. 249-270 (1999).
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1).
Index entries for sequences that are permutations of the natural numbers

This sequence is row 4 of table A004481.

Conjectures from Chai Wah Wu, Apr 05 2021: (Start)
a(n) = a(n-1) + a(n-12) - a(n-13) for n > 21.
G.f.: (-8*x^21 + 6*x^20 + 6*x^19 - 4*x^18 + 4*x^16 - 4*x^15 + x^14 + 4*x^13 - 5*x^12 - x^11 + 5*x^10 + 7*x^9 + x^8 - 9*x^7 + 3*x^6 - x^5 + 5*x^4 - x^3 - 2*x^2 + x + 4)/(x^13 - x^12 - x + 1). (End)

More terms from Howard A. Landman

cp's OEIS Frontend

A004484 Sprague-Grundy values for game of Wyt Queens.

Views

Author

Keywords

Comments

References

Links

Crossrefs

Formula

Extensions