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A277645
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Beatty sequence for 3+sqrt(6).
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3
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5, 10, 16, 21, 27, 32, 38, 43, 49, 54, 59, 65, 70, 76, 81, 87, 92, 98, 103, 108, 114, 119, 125, 130, 136, 141, 147, 152, 158, 163, 168, 174, 179, 185, 190, 196, 201, 207, 212, 217, 223, 228, 234, 239, 245, 250, 256, 261, 267, 272, 277, 283, 288, 294, 299, 305
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OFFSET
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1,1
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COMMENTS
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Eggleton et al. show that k is in this sequence if and only if A277515(k) > 3.
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REFERENCES
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R. B. Eggleton, J. S. Kimberley and J. A. MacDougall, Square-free rank of integers, submitted.
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LINKS
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FORMULA
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a(n) = floor(n*(3+sqrt(6))).
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EXAMPLE
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a(4) = 3*4 + 9 because 9^2 = 81 < 6*4^2 = 96 < 100 = 10^2.
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PROG
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(Magma) [3*n+Isqrt(6*n^2): n in [1..60]];
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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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