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A284911
Number of partitions of n^2 that are the sum of n not necessarily distinct partitions of n into distinct parts.
1
1, 1, 1, 4, 5, 21, 84, 330, 1287, 11440, 92378, 537472, 4694482
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OFFSET
0,4
LINKS
Table of n, a(n) for n=0..12.
FORMULA
a(n) <= binomial(
A000009
(n)+n-1,n) with equality only for n < 11.
EXAMPLE
a(5) = 21: 55555, 555532, 555541, 5553322, 5554321, 5554411, 55333222, 55433221, 55443211, 55444111, 533332222, 543332221, 544332211, 544432111, 544441111, 3333322222, 4333322221, 4433322211, 4443322111, 4444321111, 4444411111.
CROSSREFS
Cf.
A000009
,
A002054
,
A007318
,
A284645
.
Sequence in context:
A232665
A178625
A350827
*
A091130
A141447
A129346
Adjacent sequences:
A284908
A284909
A284910
*
A284912
A284913
A284914
KEYWORD
nonn
,
more
AUTHOR
Alois P. Heinz
, Apr 05 2017
STATUS
approved
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Last modified March 29 08:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)