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

0,3

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

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

Crossrefs

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

Sequence in context: A266534 A293392 A161336 * A345090 A059096 A257678

Adjacent sequences: A266533 A266534 A266535 * A266537 A266538 A266539

Keyword

nonn

Author

Omar E. Pol, Jan 12 2016

Status

approved