A184904 n+floor(ns/r)+floor(nt/r), where r=2^(1/2), s=2^(1/3), t=2^(1/5).

1, 4, 7, 10, 13, 15, 18, 21, 24, 26, 28, 31, 34, 37, 40, 42, 45, 48, 50, 53, 56, 58, 61, 64, 67, 70, 72, 74, 77, 80, 83, 85, 88, 91, 94, 97, 99, 101, 104, 107, 110, 113, 115, 118, 121, 123, 126, 128, 131, 134, 137, 140, 143, 145, 147, 150, 153, 156, 158, 161, 164, 167, 170, 172, 174, 177, 180, 183, 186, 188, 191, 194, 197, 199, 201, 204, 207, 210, 213, 215, 218, 221, 223, 226, 229, 231, 234, 237, 240, 243, 245, 247, 250, 253, 256, 258, 261, 264, 267, 270, 272, 274, 277, 280, 283, 286, 288, 291, 294, 296, 299, 301, 304, 307, 310, 313, 316, 318, 321, 323

Offset

1,2

Comments

The sequences A184904, A184905, A184906, partition the positive integers:

A184904: 1,4,7,10,13,15,18,21,24,26,...

A184905: 2,5,8,11,14,17,20,23,27,30,...

A184906: 3,6,9,12,16,19,22,25,29,32,...

See A184812.

Links

Table of n, a(n) for n=1..120.

Mathematica

r=2^(1/2); s=2^(1/3); t=2^(1/5);
a[n_]:=n+Floor[n*s/r]+Floor[n*t/r];
b[n_]:=n+Floor[n*r/s]+Floor[n*t/s];
c[n_]:=n+Floor[n*r/t]+Floor[n*s/t];
Table[a[n], {n, 1, 120}]  (* A184904 *)
Table[b[n], {n, 1, 120}]  (* A184905 *)
Table[c[n], {n, 1, 120}]  (* A184906 *)

Crossrefs

Cf. A184812, A184905, A184906.

Sequence in context: A196415 A186327 A190362 * A189514 A310677 A310678

Adjacent sequences: A184901 A184902 A184903 * A184905 A184906 A184907

Keyword

nonn

Author

Clark Kimberling, Jan 25 2011

Status

approved