

A342274


Consider the kth row of triangle A170899, which has 2^k terms; discard the first quarter of the terms in the row; the remainder of the row converges to this sequence as k increases.


3



4, 8, 14, 18, 18, 26, 42, 42, 26, 26, 46, 66, 70, 74, 98, 90, 42, 26, 46, 66, 74, 90, 138, 170, 134, 90, 114, 174, 194, 194, 226, 190, 74, 26, 46, 66, 74, 90, 138, 170, 138, 106, 146, 226, 274, 290, 346, 378, 262, 122, 114, 174, 210, 250, 362, 474
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OFFSET

0,1


COMMENTS

This could be divided by 2 but then it would no longer be compatible with A342272 and A342273.
It would be nice to have a formula or recurrence for any of A170899, A342272A342278, or any nontrivial relation between them. This might help to understand the fractal structure of the mysterious hexagonal UlamWarburton cellular automaton A151723.


LINKS

Table of n, a(n) for n=0..55.


EXAMPLE

Row k=6 of A170899 breaks up naturally into 7 pieces:
1;
2;
4,4;
4,8,12,8;
4,8,14,18,16,20,28,16;
4,8,14,18,18,26,42,42,24,20,36,50,46,50,62,32;
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.
The penultimate piece matches the sequence for 8 terms. The number of matching terms doubles at each row.


CROSSREFS

Cf. A151723, A170899,
Sequence in context: A312399 A312400 A333465 * A312401 A312402 A312403
Adjacent sequences: A342271 A342272 A342273 * A342275 A342276 A342277


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Mar 13 2021


STATUS

approved



