A004485 Sprague-Grundy values for game of Wyt Queens.

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

0,1

Comments

Inverse of sequence A064207 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 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

Formula

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)

Crossrefs

This sequence is row 4 of table A004481.

Sequence in context: A369500 A124118 A016716 * A057113 A060134 A200351

Adjacent sequences: A004482 A004483 A004484 * A004486 A004487 A004488

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Howard A. Landman

Status

approved