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A072213
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Number of partitions of n^2.
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8
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1, 1, 5, 30, 231, 1958, 17977, 173525, 1741630, 18004327, 190569292, 2056148051, 22540654445, 250438925115, 2814570987591, 31946390696157, 365749566870782, 4219388528587095, 49005643635237875, 572612058898037559
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = A000041(n^2).
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MAPLE
| A072213 := proc(n) combinat[numbpart](n^2) ; end proc:
seq(A072213(n), n=0..10) ; # R. J. Mathar, Jan 24 2011
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MATHEMATICA
| Table[ PartitionsP[n^2], {n, 1, 20}]
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PROG
| (PARI) a(n)=numbpart(n^2)
(PARI) a(n)=polcoeff(1/eta(x), n^2, x)
(Other) sage: [number_of_partitions(n^2)for n in xrange(0, 26)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2009]
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CROSSREFS
| Cf. A000041, A000290.
A161407, A161408 [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2009]
Sequence in context: A167892 A144498 A201368 * A199131 A052172 A058783
Adjacent sequences: A072210 A072211 A072212 * A072214 A072215 A072216
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KEYWORD
| nonn
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AUTHOR
| Jeff Burch (gburch(AT)erols.com), Jul 03 2002
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