A356091 a(n) = A001952(A054406(n)).

6, 13, 23, 30, 37, 47, 54, 61, 71, 78, 88, 95, 102, 112, 119, 126, 136, 143, 150, 160, 167, 177, 184, 191, 201, 208, 215, 225, 232, 238, 249, 256, 266, 273, 279, 290, 297, 303, 314, 320, 331, 338, 344, 355, 361, 368, 378, 385, 392, 402, 409, 419, 426, 433

Offset: 1

Author

Clark Kimberling, Aug 05 2022

Keywords

• nonn
• easy

Comments

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

Examples

			(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
		

Crossrefs

Cf. A001951, A001952, A022838, A054406, A346308 (intersections instead of results of composition), A356088, A356089, A356090.

Programs

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 *)