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A266536
Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A170896.
3
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).
FORMULA
a(n) = (A170896(n+1) - 1)/4.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Jan 12 2016
STATUS
approved