|
| |
|
|
A126081
|
|
a(n) = number of k, 1 <= k <= n, such that k divides ceiling(n/k).
|
|
0
| |
|
|
1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 4, 4, 2, 3, 4, 4, 1, 1, 2, 2, 1, 1, 4, 4, 4, 4, 5, 5, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 1, 1, 3, 3, 2, 3, 5, 5, 3, 3, 4, 3, 3, 3, 5, 5, 3, 1, 2, 2, 1, 1, 2, 3, 2, 2, 3, 4, 4, 4, 5, 6, 5, 5, 5, 4, 1, 1, 3, 3, 2
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
EXAMPLE
| Ceiling(n/k) for n = 7 is: k=1: 7; k=2: 4; k=3: 3; k=4: 2; k=5: 2; k=6: 2; k=7: 1. 1 divides 7, 2 divides 4, 3 divides 3; so a(7) = 3.
|
|
|
MAPLE
| a:=proc(n) local ct, k: ct:=0: for k from 1 to n do if type(ceil(n/k)/k, integer)=true then ct:=ct+1 else ct:=ct fi od: ct; end: seq(a(n), n=1..130); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 28 2007
|
|
|
CROSSREFS
| Cf. A066030.
Sequence in context: A191781 A155092 A095133 * A102481 A110659 A100522
Adjacent sequences: A126078 A126079 A126080 * A126082 A126083 A126084
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Leroy Quet Mar 02 2007
|
|
|
EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 28 2007
|
| |
|
|
