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Partial sums of A324917.
2

%I #12 Apr 24 2019 11:49:47

%S 1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,5,5,6,6,7,7,8,8,8,8,8,8,8,8,9,9,10,

%T 10,10,10,10,10,11,11,12,12,13,13,14,14,15,15,16,16,17,17,18,18,18,18,

%U 19,19,20,20,21,21,22,22,23,23,23,23,24

%N Partial sums of A324917.

%C Conjecture: lim_{n--> infinity}(log(a(n))/log(n)) exists and is positive.

%C Conjecture: a(n) >= A324965(n) for all n >= 13.

%H C. Defant, <a href="https://arxiv.org/abs/1903.09138">Counting 3-stack-sortable permutations</a>, arXiv:1903.09138 [math.CO], 2019.

%e The first 10 terms of A324917 are 1, 0, 0, 0, 0, 0, 0, 0, 1, 0. These terms sum to 2, so a(10)=2.

%Y Cf. A324917, A324965.

%K nonn

%O 1,9

%A _Colin Defant_, Mar 18 2019