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 A216155 Numbers n such that floor(sqrt(n + n^3)) = 1 + floor(sqrt(n^3)) = 1 + A000093(n). 2
 2, 13, 40, 43, 46, 52, 109, 152, 190, 243, 336, 351, 356, 366, 422, 584, 592, 741, 937, 978, 1011, 1040, 1137, 1330, 1355, 1362, 1376, 1398, 1434, 2063, 2320, 2520, 2553, 2660, 2665, 2928, 2940, 2993, 3067, 3075, 3092, 3296, 3532, 3631, 3703, 3712, 3730 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sequence is infinite. For values of n not in the sequence we have floor(sqrt(n+n^3)) = floor(sqrt(n^3)) = A000093(n). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..1000 MATHEMATICA Select[Range[10000], Floor[Sqrt[# + #^3]] - Floor[Sqrt[#^3]] == 1 &] PROG (Haskell) a216155 n = a216155_list !! (n-1) a216155_list = filter (\x -> a000196 (a034262 x) == a000196 (a000578 x) + 1) [1..] -- Reinhard Zumkeller, Sep 26 2014 CROSSREFS Cf. A000093 (floor(n^(3/2))). Cf. A000196, A000578, A034262, A247628 (subsequence). Sequence in context: A072857 A119535 A210849 * A011919 A323684 A264529 Adjacent sequences: A216152 A216153 A216154 * A216156 A216157 A216158 KEYWORD nonn AUTHOR Zak Seidov, Sep 02 2012 STATUS approved

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Last modified May 29 03:48 EDT 2024. Contains 372921 sequences. (Running on oeis4.)