

A067086


a(n) = floor(Sum_{k=1..n} 1/k^(1/3)).


2



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000


EXAMPLE

a(4) = floor(1 + 1/(2^(1/3)) + 1/(3^(1/3)) + 1/(4^(1/3))) = 3.


MATHEMATICA

Table[ Floor[ Sum[1/k^(1/3), {k, 1, n} ]], {n, 1, 75} ]


PROG

(PARI) { s=0; for (n=1, 1000, s+=1/n^(1/3); write("b067086.txt", n, " ", floor(s)) ) } \\ Harry J. Smith, May 12 2010


CROSSREFS

Cf. A067085.
Sequence in context: A030581 A113609 A206916 * A254531 A005410 A120835
Adjacent sequences: A067083 A067084 A067085 * A067087 A067088 A067089


KEYWORD

easy,nonn


AUTHOR

Amarnath Murthy, Jan 07 2002


EXTENSIONS

More terms from Robert G. Wilson v, Jan 09 2002


STATUS

approved



