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A376379
Heinz numbers of integer partitions (x_1, ..., x_k) with at least 2 parts, sorted by increasing multinomial coefficients (x_1 + ... + x_k)!/(x_1! * ... * x_k!). In case of ties, the partitions are sorted in standard order as in A080577.
3
4, 6, 10, 14, 8, 9, 22, 26, 34, 38, 15, 46, 58, 12, 62, 74, 82, 21, 86, 94, 106, 118, 122, 20, 25, 134, 33, 142, 146, 158, 16, 166, 178, 194, 202, 39, 206, 214, 18, 28, 218, 226, 254, 262, 274, 35, 278, 51, 298, 302, 314, 326, 334, 346, 44, 358, 362, 382, 57
OFFSET
1,1
COMMENTS
This is a permutation of the composite numbers A002808.
LINKS
Pontus von Brömssen, Table of n, a(n) for n = 1..10000
FORMULA
A318762(a(n)) = A376367(n).
EXAMPLE
n | A376367(n) | partition | a(n)
--+------------+-----------+-----
1 | 2 | (1,1) | 4
2 | 3 | (2,1) | 6
3 | 4 | (3,1) | 10
4 | 5 | (4,1) | 14
5 | 6 | (1,1,1) | 8
6 | 6 | (2,2) | 9
7 | 6 | (5,1) | 22
The number 210 appears 6 times in A376367, corresponding to the partitions (4,1,1,1), (3,2,2), (6,4), (13,1,1), (19,2), and (209,1), with Heinz numbers 56, 45, 91, 164, 201 and 2578, respectively. These numbers appear as a(257), ..., a(262).
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved