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URL: https://oeis.org/A239168

⇱ A239168 - OEIS

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A239168
Number of partitions of 9^n into parts that are at most n with at least one part of each size.
3
0, 1, 40, 43923, 1956835062, 4219267293723828, 490589938553810921101750, 3299246284983094033572923631218500, 1347808520417651710823757078029174789058075682, 34687813181057391872792859998288408847592250236051615502024
OFFSET
0,3
FORMULA
a(n) = [x^(9^n-n*(n+1)/2)] Product_{j=1..n} 1/(1-x^j).
a(n) ~ 9^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015
CROSSREFS
Column k=9 of A238012.
Sequence in context: A205307 A185194 A214138 * A167061 A283664 A159404
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 11 2014
STATUS
approved