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.

A229790 Cube roots of difference of consecutive cubes, rounded.

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%I A229790 #21 Aug 01 2020 18:08:35
%S A229790 1,2,3,3,4,4,5,6,6,6,7,7,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13,
%T A229790 13,14,14,14,15,15,15,16,16,16,16,17,17,17,18,18,18,18,19,19,19,19,20,
%U A229790 20,20,20,21,21,21,21,22,22,22,22,23,23,23,23,24,24,24,24
%N A229790 Cube roots of difference of consecutive cubes, rounded.
%e A229790 3n^2+3n+1 is the difference of two adjacent cubes, taking the cube root and rounding to a whole number yields an element of the series. 3 cubes is 27, inserting 3 into the formula = 37, 37 plus 27 is 64 the next cube after 27; the cube root of 37 is 3.33222... rounded to 3 is the element in the series.
%t A229790 Table[Round[(3*n^2 + 3*n + 1)^(1/3)], {n, 0, 100}] (* _T. D. Noe_, Oct 22 2013 *)
%t A229790 Round[Surd[#,3]]&/@Differences[Range[0,70]^3] (* _Harvey P. Dale_, Aug 01 2020 *)
%o A229790 (PARI) a(n)=round((3*n*(n+1)+1)^(1/3)) \\ _Charles R Greathouse IV_, Oct 22 2013
%Y A229790 Cf. A003215.
%K A229790 nonn,easy
%O A229790 0,2
%A A229790 _Edmund Algeo_, Oct 07 2013