|
|
A371235
|
|
E.g.f. satisfies A(x) = 1 - x^2*A(x)^5*log(1 - x*A(x)^2).
|
|
2
|
|
|
1, 0, 0, 6, 12, 40, 5220, 41328, 339360, 28477440, 489877920, 7325176320, 501467630400, 14323336634880, 333439476289920, 21001701037363200, 849627551212876800, 27872303353627299840, 1742879646852427791360, 90170933394707691724800
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (n!/(2*n+1)!) * Sum_{k=0..floor(n/3)} (2*n+k)! * |Stirling1(n-2*k,k)|/(n-2*k)!.
|
|
PROG
|
(PARI) a(n) = n!*sum(k=0, n\3, (2*n+k)!*abs(stirling(n-2*k, k, 1))/(n-2*k)!)/(2*n+1)!;
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|