A266534 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A151895.

0, 1, 2, 3, 6, 7, 10, 13, 16, 21, 24, 29, 36, 37, 40, 43, 46, 53, 58, 65, 74, 83, 96, 107, 120, 133, 136, 143, 150, 157, 168, 179, 190, 209, 226, 247, 258, 271, 286, 299, 314, 327, 334, 349, 364, 381, 406, 417, 434, 455, 470, 493, 514, 533, 562, 583, 608, 631, 646, 661, 680, 703, 736, 761, 782, 807, 836, 857, 892, 927

Offset

0,3

Comments

The structure looks like a tree which arises from one of the four spokes of the structure of the cellular automaton of A151895.

a(n) is the total number of ON cells after n-th stage.

For n >> 1 the structure looks like a square which is rotated 45 degrees.

First differs from A161336 (snowflake tree) at a(16).

First differs from A266536 at a(13). - Omar E. Pol, Apr 02 2016

Links

Table of n, a(n) for n=0..69.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to cellular automata

Index entries for sequences related to toothpick sequences

Formula

a(n) = (A151895(n+1) - 1)/4.

Crossrefs

Cf. A151895, A161330, A161336, A169779, A266536, A267700.

Sequence in context: A331075 A062720 A069813 * A293392 A161336 A266536

Adjacent sequences: A266531 A266532 A266533 * A266535 A266536 A266537

Keyword

nonn

Author

Omar E. Pol, Jan 12 2016

Extensions

More terms from Omar E. Pol, Apr 02 2016

Status

approved