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A304990 Squares of number of partitions into distinct parts. 3
1, 1, 1, 4, 4, 9, 16, 25, 36, 64, 100, 144, 225, 324, 484, 729, 1024, 1444, 2116, 2916, 4096, 5776, 7921, 10816, 14884, 20164, 27225, 36864, 49284, 65536, 87616, 115600, 152100, 200704, 262144, 342225, 446224, 577600, 746496, 964324, 1238769, 1587600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..41.

FORMULA

a(n) ~ exp(2*Pi*sqrt(n/3)) / (16*sqrt(3)*n^(3/2)).

MATHEMATICA

Table[PartitionsQ[n]^2, {n, 0, 50}]

CROSSREFS

Cf. A000009, A001255.

Sequence in context: A319435 A226096 A071567 * A263727 A133037 A061886

Adjacent sequences:  A304987 A304988 A304989 * A304991 A304992 A304993

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, May 23 2018

STATUS

approved

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Last modified October 26 16:34 EDT 2020. Contains 338027 sequences. (Running on oeis4.)