A184521 Upper s-Wythoff sequence, where s=5n+1. Complement of A184520.

7, 13, 19, 25, 31, 37, 44, 50, 56, 62, 68, 75, 81, 87, 93, 99, 106, 112, 118, 124, 130, 137, 143, 149, 155, 161, 168, 174, 180, 186, 192, 199, 205, 211, 217, 223, 229, 236, 242, 248, 254, 260, 267, 273, 279, 285, 291, 298, 304, 310, 316, 322, 329, 335, 341, 347, 353, 360, 366, 372, 378, 384, 390, 397, 403, 409, 415, 421, 428, 434, 440, 446, 452, 459, 465, 471, 477

Offset: 1

Author

Clark Kimberling, Jan 16 2011

Keywords

• nonn

Comments

See A184117 for the definition of lower and upper s-Wythoff sequences.

The terms 7,13,19,25,31,37,44,50 appear as the initial values of the n-weight domination number gamma_n(P_3 X P_8) in Hare (1990). This may or may not be a coincidence. - N. J. A. Sloane, May 31 2012

References

• Hare, E. O., k-weight domination and fractional domination of P_m X P_n. Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1990). Congr. Numer. 78 (1990), 71--80. MR1140471 (92i:05201). - From N. J. A. Sloane, May 31 2012

Crossrefs

Cf. A184117, A184520.

Programs

Mathematica

k = 5; r = -1; d = Sqrt[4 + k^2];
a[n_] := Floor[(1/2) (d + 2 - k) (n + r/(d + 2))];
b[n_] := Floor[(1/2) (d + 2 + k) (n - r/(d + 2))];
Table[a[n], {n, 120}]
Table[b[n], {n, 120}]