A373047 - OEIS

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A373047

Least k with exactly n partitions k = x + y + z satisfying sigma*(k) = sigma*(x) + sigma*(y) + sigma*(z), where sigma*(k) is the sum of the anti-divisors of k.

11, 33, 16, 20, 26, 37, 40, 19, 43, 46, 93, 91, 80, 76, 39, 78, 155, 103, 74, 135, 128, 152, 116, 117, 190, 104, 187, 138, 168, 147, 160, 223, 208, 403, 281, 173, 163, 170, 250, 243, 272, 257, 258, 232, 222, 278, 266, 245, 352, 253, 279, 256, 288, 295, 231, 291

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

a(7) = 40 and 40 has 7 partitions of three numbers, x, y and

z, for which sigma*(65) = sigma*(x) + sigma*(y) + sigma*(z) = 55. In fact:

sigma*(1) + sigma*+(4) + sigma*(35) = 0 + 3 + 52 = 55;

sigma*(1) + sigma*(12) + sigma*(27) = 0 + 13 + 42 = 55;

sigma*(1) + sigma*(14) + sigma*(25) = 0 + 16 + 39 = 55;

sigma*(4) + sigma*(14) + sigma*(22) = 3 + 16 + 36 = 55;