OFFSET
0,3
LINKS
Robin Visser, Table of n, a(n) for n = 0..10000
FORMULA
Probably a(n) ~ sqrt(2)*n*sqrt(log(n)) as n -> oo. - Robert Israel, May 02 2008
From Andrew V. Sutherland, May 02 2008: (Start)
This is supported by the following data:
.
n a(n) a(n)/n a(n)/(n*sqrt(log(n)))
------ ------ ------ ---------------------
2 4 2.0000 2.4022
4 10 2.5000 2.1233
8 24 3.0000 2.0804
16 53 3.3125 1.9894
32 115 3.5938 1.9304
64 244 3.8125 1.8695
128 514 4.0156 1.8230
256 1075 4.1992 1.7832
512 2237 4.3691 1.7493
1024 4642 4.5332 1.7218
2048 9608 4.6914 1.6990
4096 19843 4.8445 1.6797
8192 40895 4.9921 1.6630
16384 84129 5.1348 1.6483
32768 172797 5.2733 1.6354
65536 354437 5.4083 1.6240
131072 726143 5.5400 1.6139
(End)
MATHEMATICA
a = {1}; Do[AppendTo[a, Sum[Ceiling[n/a[[k]]], {k, 1, n}]], {n, 1, 70}]; a (* Stefan Steinerberger, Apr 04 2008 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Mar 31 2008
EXTENSIONS
More terms from Stefan Steinerberger, Apr 04 2008
STATUS
approved