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A116473 Number of partitions with exactly n subpartitions. 2

%I #6 Feb 06 2021 08:56:42

%S 1,1,2,2,3,3,4,2,6,5,4,4,6,5,8,6,5,6,9,5,10,8,6,6,12,6,8,10,8,12,10,4,

%T 12,14,12,10,13,4,10,12,10,12,12,8,16,15,10,8,16,13,16,14,9,14,22,10,

%U 12,12,8,12,20,16,14,16,19,16,14,8,17,23,10,12,16,10,25,18,14,16,22,16,22

%N Number of partitions with exactly n subpartitions.

%C Conjecture that lim_{n->infinity} a(n) = infinity. Definitely a(n) > 2 for n > 8.

%H Niccolò Castronuovo, <a href="https://arxiv.org/abs/2102.02739">On the number of fixed points of the map gamma</a>, arXiv:2102.02739 [math.NT], 2021. Mentions this sequence.

%Y Cf. A115728, A115729.

%K nonn

%O 1,3

%A _Franklin T. Adams-Watters_, Mar 17 2006

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)