A356090 a(n) = A001952(A022838(n)).

3, 10, 17, 20, 27, 34, 40, 44, 51, 58, 64, 68, 75, 81, 85, 92, 99, 105, 109, 116, 122, 129, 133, 139, 146, 153, 157, 163, 170, 174, 180, 187, 194, 198, 204, 211, 218, 221, 228, 235, 242, 245, 252, 259, 262, 269, 276, 283, 286, 293, 300, 307, 310, 317, 324

Offset

1,1

Comments

This is the third of four sequences that partition the positive integers. See A356088.

Links

Table of n, a(n) for n=1..55.

Example

(1)  u o v   = (1,  4,  7,  8, 11, 14, 16, 18, 21, 24, 26, ...) = A356088
(2)  u o v'  = (2,  5,  9, 12, 15, 19, 22, 25, 29, 32, 36, ...) = A356089
(3)  u' o v  = (3, 10, 17, 20, 27, 34, 40, 44, 51, 58, 64, ...) = A356090
(4)  u' o v' = (6, 13, 23, 30, 37, 47, 54, 61, 71, 78, 88, ...) = A356091

Mathematica

z = 600; zz = 100;
u = Table[Floor[n*Sqrt[2]], {n, 1, z}];  (* A001951 *)
u1 = Complement[Range[Max[u]], u];  (* A001952 *)
v = Table[Floor[n*Sqrt[3]], {n, 1, z}];  (* A022838 *)
v1 = Complement[Range[Max[v]], v];  (* A054406 *)
Table[u[[v[[n]]]], {n, 1, zz}]    (* A356088 *)
Table[u[[v1[[n]]]], {n, 1, zz}]   (* A356089 *)
Table[u1[[v[[n]]]], {n, 1, zz}]   (* A356090 *)
Table[u1[[v1[[n]]]], {n, 1, zz}]  (* A356091 *)

Crossrefs

Cf. A001951, A001952, A022838, A054406, A346308 (intersections instead of results of composition), A356088, A356089, A356091.

Sequence in context: A376023 A176760 A188396 * A190763 A043405 A296219

Adjacent sequences: A356087 A356088 A356089 * A356091 A356092 A356093

Keyword

nonn,easy

Author

Clark Kimberling, Aug 04 2022

Status

approved