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A327482
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Irregular triangle read by rows where T(n,d) is the number of integer partitions of n with mean d|n.
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75
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1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 5, 4, 1, 1, 7, 1, 1, 7, 5, 1, 1, 1, 1, 11, 15, 12, 6, 1, 1, 1, 1, 15, 7, 1, 1, 30, 19, 1, 1, 22, 34, 8, 1, 1, 1, 1, 30, 58, 27, 9, 1, 1, 1, 1, 42, 84, 64, 10, 1, 1, 105, 37, 1, 1, 56, 11, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,7
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LINKS
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EXAMPLE
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Triangle begins:
1
1 1
1 1
1 2 1
1 1
1 3 3 1
1 1
1 5 4 1
1 7 1
1 7 5 1
1 1
1 11 15 12 6 1
1 1
1 15 7 1
1 30 19 1
1 22 34 8 1
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MATHEMATICA
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Table[Length[Select[IntegerPartitions[n], Mean[#]==d&]], {n, 20}, {d, Divisors[n]}]
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CROSSREFS
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The version for subsets is A327481.
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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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