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A266534
Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A151895.
3
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
FORMULA
a(n) = (A151895(n+1) - 1)/4.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Jan 12 2016
EXTENSIONS
More terms from Omar E. Pol, Apr 02 2016
STATUS
approved