VOOZH about

URL: https://oeis.org/A239167

⇱ A239167 - OEIS

login
A239167
Number of partitions of 8^n into parts that are at most n with at least one part of each size.
2
0, 1, 31, 21590, 475473009, 399953578562811, 14325140434481169064975, 23442235543128214521886383970201, 1841132100297745277187328924904656111127054, 7197719612276659958196058354497691622150052900765626132
OFFSET
0,3
FORMULA
a(n) = [x^(8^n-n*(n+1)/2)] Product_{j=1..n} 1/(1-x^j).
a(n) ~ 8^(n*(n-1)) / (n!*(n-1)!). - Vaclav Kotesovec, Jun 05 2015
CROSSREFS
Column k=8 of A238012.
Sequence in context: A215610 A292009 A086122 * A263585 A176349 A262716
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 11 2014
STATUS
approved