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A242392 Irregular table which shows in row n the list of distinct integer arithmetic means of distinct divisors of n, or zero if n <= 2. 0
0, 0, 2, 3, 3, 2, 3, 4, 4, 3, 5, 6, 2, 5, 6, 3, 6, 6, 2, 3, 4, 5, 6, 7, 8, 7, 4, 8, 2, 3, 4, 5, 5, 6, 7, 8, 7, 4, 8, 2, 3, 4, 6, 8, 9, 10, 3, 5, 6, 7, 8, 9, 9, 2, 4, 5, 6, 7, 8, 9, 10, 12, 10, 3, 5, 6, 7, 9, 10, 11, 12, 15, 2, 4, 5, 8, 12, 14, 6, 9, 12, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..82.

EXAMPLE

Table starts:

0,

0,

2,

3,

3,

2, 3, 4,

4,

3, 5, 6,

2, 5, 6,

3, 6,

6,

2, 3, 4, 5, 6, 7, 8,

7,

4, 8,

2, 3, 4, 6, 8, 9, 10,

3, 5, 6, 7, 8, 9,

9,

2, 4, 5, 6, 7, 8, 9, 10, 12,

10,

3, 5, 6, 7, 9, 10, 11, 12, 15,

2, 4, 5, 8, 12, 14,

6, 9, 12,

12.

2, 3, 4, are in 6th row because:

1) (n/6 + n/2)/2 = (6/6 + 6/2)/2 = (1 + 3)/2 = 2,

2) (n/6 + n/3 + n/2 + n/1)/4 = (6/6 + 6/3 + 6/2 + 6/1)/4 = (1 + 2 + 3 + 6)/4 = 3,

3) (n/3 + n/1)/2 = (6/3 + 6/1)/2 = (2 + 6)/2 = 4.

CROSSREFS

Cf. A027750.

Sequence in context: A191246 A248222 A107918 * A002963 A046677 A283104

Adjacent sequences:  A242389 A242390 A242391 * A242393 A242394 A242395

KEYWORD

nonn,tabf

AUTHOR

Ilya Lopatin and Juri-Stepan Gerasimov, May 12 2014

STATUS

approved

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Last modified August 7 09:16 EDT 2020. Contains 336274 sequences. (Running on oeis4.)