cp's OEIS Frontend

A342273 Consider the k-th row of triangle A170899 starting at the 3 in the middle of the row; the row from that point on converges to this sequence as k increases.

%I A342273 #19 Mar 14 2021 20:35:21
%S A342273 3,6,11,13,13,21,33,29,17,21,37,51,51,57,77,61,25,21,37,51,55,71,111,
%T A342273 127,91,65,93,137,143,147,175,127,41,21,37,51,55,71,111,127,95,79,119,
%U A342273 179,207,219,271,279,171,81,93,137,159,195,291,363
%N A342273 Consider the k-th row of triangle A170899 starting at the 3 in the middle of the row; the row from that point on converges to this sequence as k increases.
%C A342273 It would be nice to have a formula or recurrence for any of A170899, A342272-A342278, or any nontrivial relation between them. This might help to understand the fractal structure of the mysterious hexagonal Ulam-Warburton cellular automaton A151723.
%C A342273 Needs a bigger b-file.
%H A342273 N. J. A. Sloane, <a href="/A342273/b342273.txt">Table of n, a(n) for n = 0..255</a>
%e A342273 Row k=6 of A170899 breaks up naturally into 7 pieces:
%e A342273 1;
%e A342273 2;
%e A342273 4,4;
%e A342273 4,8,12,8;
%e A342273 4,8,14,18,16,20,28,16;
%e A342273 4,8,14,18,18,26,42,42,24,20,36,50,46,50,62,32;
%e A342273 3,6,11,13,13,21,33,29,17,21,37,51,51,57,77,61,21,15,27,34,36,52,80,80,44,38,62,81,58,73,63,0.
%e A342273 The last piece already matches the sequence for 16 terms. The number of matching terms doubles at each row.
%Y A342273 Cf. A151723, A151724, A342272.
%K A342273 nonn
%O A342273 0,1
%A A342273 _N. J. A. Sloane_, Mar 13 2021