OFFSET
1,3
LINKS
Harry J. Smith, Table of n, a(n) for n = 1..1000
FORMULA
A well-known inequality is 2*n^1/2 - 2 < b(n) < 2*n^1/2 - 1.
EXAMPLE
a(4) = floor(1 + 1/sqrt(2) + 1/sqrt(3) + 1/sqrt(4)) = floor(2.78445705037617328890999314260681) = 2.
MATHEMATICA
Table[ Floor[ Sum[1/k^(1/2), {k, 1, n} ]], {n, 1, 75} ]
PROG
(PARI) { s=0; for (n=1, 1000, s+=1/n^(1/2); write("b067085.txt", n, " ", floor(s)) ) } \\ Harry J. Smith, May 10 2010
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Amarnath Murthy, Jan 07 2002
EXTENSIONS
More terms from Robert G. Wilson v, Jan 09 2002
Terms added by Harry J. Smith, May 10 2010
STATUS
approved