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 A342274 Consider the k-th 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 (list; graph; refs; listen; history; text; internal format)
 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, 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. LINKS 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

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Last modified September 21 07:28 EDT 2021. Contains 347596 sequences. (Running on oeis4.)