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A299484
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Irregular triangle read by rows in which T(n,k) is the number of cells in the k-th level of the diagram of the symmetric representation of sigma(n).
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1
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1, 2, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 2, 4, 5, 2, 2, 2, 2, 4, 3, 2, 2, 2, 4, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 7, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 4, 2, 2, 2, 2, 2, 3, 6, 5, 2, 2, 2, 2, 2, 2, 4, 8, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 8, 9, 6, 2, 2, 2, 2, 2
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OFFSET
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1,2
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COMMENTS
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If n is an odd prime p then row n has length (p + 1)/2 and all terms in row n are 2's.
For more information about the diagram of the symmetric representation of sigma(n) see A237593 and other related sequences.
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LINKS
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EXAMPLE
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Triangle begins:
1;
2, 1;
2, 2;
2, 3, 2;
2, 2, 2;
2, 3, 4, 3;
2, 2, 2, 2;
2, 2, 4, 5, 2;
2, 2, 2, 4, 3;
2, 2, 2, 4, 6, 2;
2, 2, 2, 2, 2, 2;
2, 2, 2, 5, 6, 7, 4;
2, 2, 2, 2, 2, 2, 2;
2, 2, 2, 2, 4, 6, 4, 2;
2, 2, 2, 2, 3, 6, 5, 2;
2, 2, 2, 2, 2, 4, 8, 7, 2;
2, 2, 2, 2, 2, 2, 2, 2, 2;
2, 2, 2, 2, 2, 4, 8, 9, 6, 2;
2, 2, 2, 2, 2, 2, 2, 2, 2, 2;
...
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CROSSREFS
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Cf. A196020, A235791, A236104, A237048, A237270, A237271, A237591, A237593, A244050, A245092, A249351, A262611, A262626, A281010, A296508.
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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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