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A342770
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T(n,k) is the number of rooted plane binary forests with n nodes and k trees: triangle read by rows.
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1
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1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 3, 0, 1, 0, 1, 0, 5, 0, 3, 0, 1, 0, 1, 0, 0, 7, 0, 3, 0, 1, 0, 1, 0, 14, 0, 8, 0, 3, 0, 1, 0, 1, 0, 0, 22, 0, 8, 0, 3, 0, 1, 0, 1, 0, 42, 0, 24, 0, 8, 0, 3, 0, 1, 0, 1, 0, 0, 66, 0, 25, 0, 8, 0
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text;
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OFFSET
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0,17
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COMMENTS
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LINKS
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EXAMPLE
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The triangle starts (n>=0, 0<=k<=n):
1
0 1
0 0 1
0 1 0 1
0 0 1 0 1
0 2 0 1 0 1
0 0 3 0 1 0 1
0 5 0 3 0 1 0 1
0 0 7 0 3 0 1 0 1
0 14 0 8 0 3 0 1 0 1
0 0 22 0 8 0 3 0 1 0 1
0 42 0 24 0 8 0 3 0 1 0 1
0 0 66 0 25 0 8 0 3 0 1 0 1
0 132 0 74 0 25 0 8 0 3 0 1 0 1
0 0 217 0 76 0 25 0 8 0 3 0 1 0 1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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