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3, 13, 17, 30, 34, 40, 44, 47, 51, 61, 68, 78, 88, 95, 99, 105, 109, 112, 116, 122, 126, 133, 139, 143, 153, 160, 170, 174, 187, 191, 204, 208, 218, 225, 235, 245, 252, 256, 262, 266, 269, 273, 279, 283, 290, 300, 310, 317, 327, 331, 334, 338, 344, 348
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OFFSET
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1,1
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COMMENTS
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This is the third of four sequences, u^v, u^v', u'^v, u'^v', that partition the positive integers. See A356052.
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LINKS
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EXAMPLE
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(1) u ^ v = (1, 5, 7, 9, 11, 15, 19, 21, 22, 24, 26, 28, ...) = A356052
(2) u ^ v' = (2, 4, 8, 12, 14, 16, 18, 25, 29, 31, 33, 35, ...) = A356053
(3) u' ^ v = (3, 13, 17, 30, 34, 40, 44, 47, 51, 61, 68, ...) = A356054
(4) u' ^ v' = (6, 10, 20, 23, 27, 37, 54, 58, 64, 71, 75, ...) = A356055
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MATHEMATICA
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z = 250;
u = Table[Floor[n (Sqrt[2])], {n, 1, z}] (* A001951 *)
u1 = Complement[Range[Max[u]], u] (* A001952 *)
v = Table[Floor[n (1/2 + Sqrt[2])], {n, 1, z}] (* A137803 *)
v1 = Complement[Range[Max[v]], v] (* A137804 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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