|
|
A356972
|
|
E.g.f. satisfies log(A(x)) = (exp(x * A(x)^2) - 1) * A(x).
|
|
3
|
|
|
1, 1, 8, 128, 3139, 104382, 4393590, 224045271, 13428576766, 925335827928, 72082558060889, 6264277731652096, 600873473776204782, 63059026039778220285, 7187299097301622432156, 884141943373486896560252, 116756337165196381259759707, 16474480747756013055963484442
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) = Sum_{k=0..n} (2*n+k+1)^(k-1) * Stirling2(n,k).
|
|
PROG
|
(PARI) a(n) = sum(k=0, n, (2*n+k+1)^(k-1)*stirling(n, k, 2));
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|