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

1,1

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

Links

Table of n, a(n) for n=1..77.

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}]

Crossrefs

Cf. A184117, A184520.

Sequence in context: A260682 A354936 A348932 * A123843 A277093 A004082

Adjacent sequences: A184518 A184519 A184520 * A184522 A184523 A184524

Keyword

nonn

Author

Clark Kimberling, Jan 16 2011

Status

approved