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A190365
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n + [n*r/s] + [n*t/s] + [n*u/s]; r=sqrt(2), s=1/r, t=sqrt(3), u=1/t.
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4
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5, 11, 18, 24, 31, 36, 43, 49, 56, 62, 67, 74, 80, 87, 93, 100, 105, 112, 118, 124, 131, 136, 143, 149, 156, 162, 169, 174, 181, 187, 193, 200, 205, 212, 218, 225, 231, 238, 243, 249, 256, 262, 269, 274, 281, 287, 294, 300, 307, 312, 318, 325, 331, 338, 343, 350, 356, 363, 369, 374, 381, 387, 394, 400, 407, 412, 419, 425, 432, 438, 443, 450
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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A190364: a(n) = n + [n/2] + [n*sqrt(3/2)] + [n*sqrt(1/6)].
A190365: b(n) = 3*n + [n*sqrt(6)] + [n*sqrt(2/3)].
A190366: c(n) = n + [n*sqrt(2/3)] + [n*sqrt(1/6)] + [n/3].
A190367: d(n) = 4*n + [n*sqrt(6)] + [n*sqrt(3/2)].
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MATHEMATICA
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Table[3*n + Floor[n*Sqrt[6]] + Floor[n*Sqrt[2/3]], {n, 1, 30}] (* G. C. Greubel, Jan 31 2018 *)
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PROG
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(PARI) for(n=1, 30, print1(3*n + floor(n*sqrt(6)) + floor(n*sqrt(2/3)), ", ")) \\ G. C. Greubel, Jan 31 2018
(Magma) [3*n + Floor(n*Sqrt(6)) + Floor(n*Sqrt(2/3)): n in [1..30]]; // G. C. Greubel, Jan 31 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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