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

0,1

Comments

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

References

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

Links

Table of n, a(n) for n=0..61.

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).

Formula

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)

Crossrefs

This sequence is row 3 of table A004481.

Sequence in context: A365796 A202819 A185383 * A332882 A176210 A187824

Adjacent sequences: A004481 A004482 A004483 * A004485 A004486 A004487

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Howard A. Landman

Status

approved