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A072243
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Number of distinct partitions of n^2.
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8
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1, 1, 2, 8, 32, 142, 668, 3264, 16444, 84756, 444793, 2368800, 12769602, 69545358, 382075868, 2114965120, 11784471548, 66043042088, 372022512608, 2105220502772, 11962163400706, 68223286792200, 390406746862530, 2240962117491470, 12899456450932840
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OFFSET
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0,3
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LINKS
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FORMULA
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MAPLE
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with(numtheory):
b:= proc(n) option remember; `if`(n=0, 1, add(add(
`if`(d::odd, d, 0), d=divisors(j))*b(n-j), j=1..n)/n)
end:
a:= n-> b(n^2):
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MATHEMATICA
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Table[ PartitionsQ[n^2], {n, 1, 24}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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