A266536 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A170896.

0, 1, 2, 3, 6, 7, 10, 13, 16, 21, 24, 29, 36, 39, 42, 45, 50, 57, 62, 71, 80, 91, 102, 111, 124, 137, 144, 151, 158, 167, 178, 189, 206, 223, 242, 261, 276, 293, 310, 327, 344, 359, 368, 385, 402, 423, 448, 467, 486, 509, 526, 547, 570, 595, 630, 655, 688, 717, 742, 763, 782, 809, 844, 871, 896, 921, 954, 977, 1016, 1059

Offset: 0

Author

Omar E. Pol, Jan 12 2016

Keywords

• nonn

Comments

The structure looks like a tree which arises from one of the four spokes of the structure of the cellular automaton of A170896.

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 both A161336 (snowflake tree) and A266534 at a(13).

Links

• 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

Crossrefs

Cf. A161336, A169779, A170896, A266534, A267700.

Formula

a(n) = (A170896(n+1) - 1)/4.