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A072213
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Number of partitions of n^2.
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25
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1, 1, 5, 30, 231, 1958, 17977, 173525, 1741630, 18004327, 190569292, 2056148051, 22540654445, 250438925115, 2814570987591, 31946390696157, 365749566870782, 4219388528587095, 49005643635237875, 572612058898037559
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history;
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OFFSET
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0,3
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..250
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FORMULA
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a(n) = A000041(n^2).
a(n) ~ exp(Pi*sqrt(2/3)*n) / (4*sqrt(3)*n^2). - Vaclav Kotesovec, Dec 01 2015
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MAPLE
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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
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Table[ PartitionsP[n^2], {n, 1, 20}]
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PROG
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(PARI) a(n)=numbpart(n^2)
(PARI) a(n)=polcoeff(1/eta(x), n^2, x)
(Sage) [number_of_partitions(n^2)for n in range(0, 26)] # Zerinvary Lajos, Nov 26 2009
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CROSSREFS
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Cf. A000041, A000290, A072243.
Cf. A161407, A161408. - Reinhard Zumkeller, Jun 10 2009
Sequence in context: A345190 A144498 A201368 * A257741 A308946 A346681
Adjacent sequences: A072210 A072211 A072212 * A072214 A072215 A072216
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch, Jul 03 2002
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STATUS
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approved
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