A241559 Largest part of the symmetric representation of sigma(n).

1, 3, 2, 7, 3, 12, 4, 15, 5, 9, 6, 28, 7, 12, 8, 31, 9, 39, 10, 42, 11, 18, 12, 60, 13, 21, 14, 56, 15, 72, 16, 63, 17, 27, 18, 91, 19, 30, 20, 90, 21, 96, 22, 42, 32, 36, 24, 124, 25, 39, 26, 49, 27, 120, 28, 120, 29, 45, 30, 168, 31, 48, 32, 127

Offset

1,2

Comments

First differs from A241838 at a(45).

If A237271(n) = 1 then a(n) = A241558(n) = A241838(n) = A000203(n).

If n is an odd prime then a(n) = (n + 1)/2 = A241558(n) = A241838(n).

For more information see A237593.

Links

Table of n, a(n) for n=1..64.

Example

For n = 9 the symmetric representation of sigma(9) = 13 in the first quadrant looks like this:
y
.
._ _ _ _ _ 5
|_ _ _ _ _|
.         |_ _ 3
.         |_  |
.           |_|_ _ 5
.               | |
.               | |
.               | |
.               | |
. . . . . . . . |_| . . x
.
There are three parts [5, 3, 5] and the largest part is 5 so a(9) = 5.
For n = 45 the symmetric representation of sigma(45) = 78 has three parts [23, 32, 23] and the largest part is 32 so a(45) = 32.

Mathematica

(* Function a237270[] is defined in A237270 *)
a241559[n_]:=Max[a237270[n]]
Map[a241559, Range[64]] (* data *)
(* Hartmut F. W. Hoft, Sep 19 2014 *)

Crossrefs

Cf. A000203, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239660, A239931-A239934, A241558, A071561, A071562, A241838.

Sequence in context: A241558 A295422 A241838 * A165794 A075270 A067872

Adjacent sequences: A241556 A241557 A241558 * A241560 A241561 A241562

Keyword

nonn

Author

Michel Marcus and Omar E. Pol, Apr 29 2014

Status

approved