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A356087
Intersection of A001952 and A054406.
4
23, 30, 37, 40, 44, 47, 54, 61, 68, 75, 78, 85, 92, 99, 139, 146, 153, 160, 163, 167, 170, 177, 184, 191, 194, 198, 201, 208, 215, 238, 262, 269, 276, 279, 283, 286, 288, 291, 293, 295, 298, 300, 302, 305, 307, 309, 312, 314, 317, 319, 321, 324, 326, 328
OFFSET
1,1
COMMENTS
This is the fourth of four sequences, u^v, u^v', u'^v, u'^v', that partition the positive integers. See A346308.
EXAMPLE
(1) u ^ v = ( 1, 5, 8, 12, 15, 19, 22, 24, 25, 29, 31, 32, ...) = A346308.
(2) u ^ v' = ( 2, 4, 7, 9, 11, 14, 16, 18, 21, 26, 28, 33, ...) = A356085.
(3) u' ^ v = ( 3, 6, 10, 13, 17, 20, 27, 34, 51, 58, 64, 71, ...) = A356086.
(4) u' ^ v' = (23, 30, 37, 40, 44, 47, 54, 61, 68, 75, 78, 85, ...) = A356087.
MATHEMATICA
r = Sqrt[2]; u = Table[Floor[n*r], {n, 1, z}] (* A001951 *)
u1 = Take[Complement[Range[1000], u], z] (* A001952 *)
r1 = Sqrt[3]; v = Table[Floor[n*r1], {n, 1, z}] (* A022838 *)
v1 = Take[Complement[Range[1000], v], z] (* A054406 *)
Intersection[u, v] (* A346308 *)
Intersection[u, v1] (* A356085 *)
Intersection[u1, v] (* A356086 *)
Intersection[u1, v1] (* A356087 *)
CROSSREFS
Cf. A001951, A001952, A022838, A054406, A346308, A356085, A356086, A356088 (results of composition instead of intersections).
Sequence in context: A344127 A036267 A107934 * A155107 A126719 A110677
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Aug 04 2022
STATUS
approved