|
%I #21 Jul 29 2018 20:47:09
%S 12,20,24,28,40,44,45,48,52,56,60,63,68,72,76,80,84,88,90,92,96,99,
%T 104,112,116,117,120,124,126,132,135,136,140,144,148,150,152,153,156,
%U 160,164,168,171,172,175,176,180,184,188,189,192,198,200,204,207,208
%N Heinz numbers of integer partitions that are not totally nondecreasing.
%C The first term of this sequence that is absent from A112769 is 150.
%C An integer partition is totally nondecreasing if either it is empty or a singleton or its multiplicities (where if x < y the multiplicity of x is counted prior to the multiplicity of y) are weakly increasing and, taken in reverse order, are themselves a totally nondecreasing integer partition.
%e 150 is the Heinz number of (3,3,2,1), with multiplicities (1,1,2), which has multiplicities (2,1), which are decreasing, so 150 does not belong to the sequence.
%Y Complement of A316529.
%Y Cf. A056239, A071365, A112769, A181819, A182850, A242031, A296150, A305733, A316496, A317258.
%K nonn
%O 1,1
%A _Gus Wiseman_, Jul 29 2018
|
