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A350639
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a(n) is the number of connected components in the set of cells added at stage n of the cellular automaton described in A350632.
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2
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0, 1, 1, 4, 1, 4, 4, 12, 1, 4, 4, 12, 4, 20, 12, 36, 9, 8, 4, 12, 4, 20, 12, 36, 12, 20, 20, 36, 28, 52, 36, 92, 25, 16, 4, 12, 4, 20, 12, 36, 12, 20, 20, 36, 28, 52, 36, 92, 28, 36, 28, 52, 36, 68, 44, 108, 52, 76, 76, 100, 84, 140, 92, 228, 89, 56, 4, 12, 4
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OFFSET
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0,4
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COMMENTS
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We only consider cells turned ON at stage n (and that were OFF in prior stages).
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LINKS
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EXAMPLE
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The first 5 generations can be depicted as follows:
+-------+ +-------+
| 5 | | 5 |
| +---+-------------------+---+ |
| | 4 | |
+---+ +-------+---+-------+ +---+
| | 3 | | 3 | |
| | +---+---+---+ | |
| | | 2 | | |
| +---+ +---+ +---+ |
| | | | 1 | | | |
| +---+ +---+ +---+ |
| | 3 | | | |
| | +---+---+---+ | |
| | | | 3 | |
+---+ +-------+---+-------+ +---+
| 5 | | |
| +---+-------------------+---+ |
| | | 5 |
+-------+ +-------+
- so a(0) = 0,
a(1) = 1,
a(2) = 1,
a(3) = 4,
a(4) = 1,
a(5) = 4.
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PROG
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(C++) See Links section.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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