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A072213 Number of partitions of n^2. 16
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; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..250

FORMULA

a(n) = A000041(n^2).

a(n) ~ exp(Pi*sqrt(2/3)*n) / (4*sqrt(3)*n^2). - Vaclav Kotesovec, Dec 01 2015

MAPLE

A072213 := proc(n) combinat[numbpart](n^2) ; end proc:

seq(A072213(n), n=0..10) ; # R. J. Mathar, Jan 24 2011

MATHEMATICA

Table[ PartitionsP[n^2], {n, 1, 20}]

PROG

(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 xrange(0, 26)] # Zerinvary Lajos, Nov 26 2009

CROSSREFS

Cf. A000041, A000290, A072243.

Cf. A161407, A161408. - Reinhard Zumkeller, Jun 10 2009

Sequence in context: A167892 A144498 A201368 * A257741 A279155 A245247

Adjacent sequences:  A072210 A072211 A072212 * A072214 A072215 A072216

KEYWORD

nonn

AUTHOR

Jeff Burch, Jul 03 2002

STATUS

approved

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Last modified November 24 00:27 EST 2017. Contains 295164 sequences.