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A365836
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a(1)=1; thereafter extend the sequence by appending its nonincreasing run transform, recompute the nonincreasing run transform, append it, and so on.
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2
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1, 1, 2, 2, 1, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 2, 2, 1, 2, 3, 2, 3, 1, 2, 3, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 1, 1, 2, 3, 1, 2, 3, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 3, 2, 3, 1, 2, 3, 1, 2, 1, 2, 2
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OFFSET
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1,3
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COMMENTS
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The nonincreasing run transform replaces each run of weakly decreasing terms with a single value which is the length of that run.
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LINKS
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EXAMPLE
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Irregular triangle in which each row (after the initial 1) is the nonincreasing run transform of the concatenation of the previous rows:
1;
1;
2;
2, 1;
2, 3;
2, 3, 1, 1;
2, 3, 1, 2, 3;
2, 3, 1, 2, 3, 1, 2, 1, 1;
2, 3, 1, 2, 3, 1, 2, 1, 2, 2, 1, 2, 3;
2, 3, 1, 2, 3, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 1, 1;
...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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