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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.

%I A376379 #6 Sep 24 2024 09:29:09
%S A376379 4,6,10,14,8,9,22,26,34,38,15,46,58,12,62,74,82,21,86,94,106,118,122,
%T A376379 20,25,134,33,142,146,158,16,166,178,194,202,39,206,214,18,28,218,226,
%U A376379 254,262,274,35,278,51,298,302,314,326,334,346,44,358,362,382,57
%N 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.
%C A376379 This is a permutation of the composite numbers A002808.
%H A376379 Pontus von Brömssen, <a href="/A376379/b376379.txt">Table of n, a(n) for n = 1..10000</a>
%F A376379 A318762(a(n)) = A376367(n).
%e A376379   n | A376367(n) | partition | a(n)
%e A376379   --+------------+-----------+-----
%e A376379   1 |     2      |  (1,1)    |   4
%e A376379   2 |     3      |  (2,1)    |   6
%e A376379   3 |     4      |  (3,1)    |  10
%e A376379   4 |     5      |  (4,1)    |  14
%e A376379   5 |     6      |  (1,1,1)  |   8
%e A376379   6 |     6      |  (2,2)    |   9
%e A376379   7 |     6      |  (5,1)    |  22
%e A376379 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).
%Y A376379 Cf. A002808, A080577, A318762, A376367.
%K A376379 nonn
%O A376379 1,1
%A A376379 _Pontus von Brömssen_, Sep 23 2024