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Irregular table read by rows; the first row contains a single 1; for all n > 1, row n+1 is the frequency of each term in rows 1..n.
2

%I #37 Sep 29 2023 13:09:40

%S 1,1,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,8,8,8,8,8,8,8,8,6,6,6,6,6,6,2,2,

%T 10,10,10,10,10,10,10,10,12,12,12,12,12,12,10,10,8,8,8,8,8,8,8,8,12,

%U 12,12,12,12,12,2,2,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16

%N Irregular table read by rows; the first row contains a single 1; for all n > 1, row n+1 is the frequency of each term in rows 1..n.

%H Neal Gersh Tolunsky, <a href="/A365882/b365882.txt">Table of n, a(n) for n = 1..8192</a>

%H Neal Gersh Tolunsky, <a href="/A365882/a365882_1.png">Run length transform of 2^18 terms</a>

%H Neal Gersh Tolunsky, <a href="/A365882/a365882_2.png">Graphs of 2^18 terms</a> with a(1) = 1..4 (left to right, top to bottom)

%e Triangle begins:

%e k=1 2 3 4 5 6 7 8 ...

%e n=1: 1;

%e n=2: 1;

%e n=3: 2, 2;

%e n=4: 2, 2, 2, 2;

%e n=5: 2, 2, 6, 6, 6, 6, 6, 6;

%e n=6: 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6;

%e ...

%Y Cf. A327616 (ordinal transform version), A011782 (row lengths), A030717.

%K nonn,tabf

%O 1,3

%A _Neal Gersh Tolunsky_, Sep 22 2023