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A228821
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Triangle read by rows in which row n lists the F-ranks of all compositions of n in nondecreasing order, n >= 0.
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1
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0, -1, 1, -2, -1, 0, 3, -3, -2, -2, -1, -1, 0, 2, 7, -4, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 1, 2, 6, 15, -5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 1, 1, 2, 5, 6, 14, 31, -6, -5, -5, -5, -5
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listen;
history;
text;
internal format)
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OFFSET
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1,4
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COMMENTS
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Also row n lists the L-ranks of all compositions of n in nondecreasing order. For the definition of both F-rank and L-rank of a composition see A228820.
Row sums is always 0.
Row sums of nonnegative terms give A228820.
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LINKS
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EXAMPLE
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Triangle begins:
0;
-1, 1;
-2, -1, 0, 3;
-3, -2, -2, -1, -1, 0, 2, 7;
-4, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, 0, 1, 2, 6, 15;
-5, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 1, 1, 2, 5, 6, 14, 31;
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CROSSREFS
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Cf. A000079, A000225, A001477, A011782, A001511, A001792, A195012, A209616, A228369, A228525, A228820.
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KEYWORD
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sign,tabf
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AUTHOR
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STATUS
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approved
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