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A171972
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Greatest integer k such that k/n^2 < sqrt(3).
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8
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0, 1, 6, 15, 27, 43, 62, 84, 110, 140, 173, 209, 249, 292, 339, 389, 443, 500, 561, 625, 692, 763, 838, 916, 997, 1082, 1170, 1262, 1357, 1456, 1558, 1664, 1773, 1886, 2002, 2121, 2244, 2371, 2501, 2634, 2771, 2911, 3055, 3202, 3353, 3507, 3665, 3826, 3990, 4158
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OFFSET
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0,3
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COMMENTS
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Integer part of the surface area of a regular tetrahedron with edge length n.
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LINKS
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FORMULA
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a(n) = floor(n^2 * sqrt(3)).
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MATHEMATICA
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z = 120; r = Sqrt[3];
Table[Floor[r*n^2], {n, 0, z}]; (* A171972 *)
Table[Ceiling[r*n^2], {n, 0, z}]; (* A293410 *)
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PROG
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(Haskell)
a171972 = floor . (* sqrt 3) . fromInteger . a000290
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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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