cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A216155 Numbers n such that floor(sqrt(n + n^3)) = 1 + floor(sqrt(n^3)) = 1 + A000093(n).

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%I A216155 #13 Sep 26 2014 13:31:41
%S A216155 2,13,40,43,46,52,109,152,190,243,336,351,356,366,422,584,592,741,937,
%T A216155 978,1011,1040,1137,1330,1355,1362,1376,1398,1434,2063,2320,2520,2553,
%U A216155 2660,2665,2928,2940,2993,3067,3075,3092,3296,3532,3631,3703,3712,3730
%N A216155 Numbers n such that floor(sqrt(n + n^3)) = 1 + floor(sqrt(n^3)) = 1 + A000093(n).
%C A216155 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).
%H A216155 Reinhard Zumkeller, <a href="/A216155/b216155.txt">Table of n, a(n) for n = 1..1000</a>
%t A216155 Select[Range[10000], Floor[Sqrt[# + #^3]] - Floor[Sqrt[#^3]] == 1 &]
%o A216155 (Haskell)
%o A216155 a216155 n = a216155_list !! (n-1)
%o A216155 a216155_list = filter
%o A216155    (\x -> a000196 (a034262 x) == a000196 (a000578 x) + 1) [1..]
%o A216155 -- _Reinhard Zumkeller_, Sep 26 2014
%Y A216155 Cf. A000093 (floor(n^(3/2))).
%Y A216155 Cf. A000196, A000578, A034262, A247628 (subsequence).
%K A216155 nonn
%O A216155 1,1
%A A216155 _Zak Seidov_, Sep 02 2012