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.

3, 6, 11, 13, 13, 21, 33, 29, 17, 21, 37, 51, 51, 57, 77, 61, 25, 21, 37, 51, 55, 71, 111, 127, 91, 65, 93, 137, 143, 147, 175, 127, 41, 21, 37, 51, 55, 71, 111, 127, 95, 79, 119, 179, 207, 219, 271, 279, 171, 81, 93, 137, 159, 195, 291, 363

Offset

0,1

Comments

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.

Needs a bigger b-file.

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..255

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 last piece already matches the sequence for 16 terms. The number of matching terms doubles at each row.

Crossrefs

Cf. A151723, A151724, A342272.

Sequence in context: A115821 A115767 A058269 * A310088 A073942 A310089

Adjacent sequences: A342270 A342271 A342272 * A342274 A342275 A342276

Keyword

nonn

Author

N. J. A. Sloane, Mar 13 2021

Status

approved