A067086 a(n) = floor(Sum_{k=1..n} 1/k^(1/3)).
1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25
Offset: 1
Examples
a(4) = floor(1 + 1/(2^(1/3)) + 1/(3^(1/3)) + 1/(4^(1/3))) = 3.
Links
- Harry J. Smith, Table of n, a(n) for n = 1..1000
Crossrefs
Cf. A067085.
Programs
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Mathematica
Table[ Floor[ Sum[1/k^(1/3), {k, 1, n} ]], {n, 1, 75} ] Floor[Accumulate[1/CubeRoot[Range[80]]]] (* Harvey P. Dale, Feb 22 2023 *) -
PARI
{ s=0; for (n=1, 1000, s+=1/n^(1/3); write("b067086.txt", n, " ", floor(s)) ) } \\ Harry J. Smith, May 12 2010
Extensions
More terms from Robert G. Wilson v, Jan 09 2002