|
|
A283111
|
|
Number of partitions of 2^n into n parts.
|
|
1
|
|
|
0, 1, 2, 5, 34, 480, 17180, 1652171, 461346215, 396507897335, 1093817527528804, 9967640563717565125, 306039783996035518230753, 32112037153481933712774822566, 11641561173234351448063113301394401
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = P(2^n,n), where P(x, y) is the number of partitions of x into y parts.
|
|
MATHEMATICA
|
a[n_] := SeriesCoefficient[1/Product[1 - x^k, {k, 1, n}], {x, 0, 2^n - n}]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 14}] (* Jean-François Alcover, Mar 01 2017 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|