|
|
A371139
|
|
E.g.f. satisfies A(x) = 1 + x^2*A(x)^2*(exp(x*A(x)) - 1).
|
|
1
|
|
|
1, 0, 0, 6, 12, 20, 2190, 17682, 94136, 4762872, 83210490, 920248670, 34266719652, 948535937076, 17568958623398, 607198057666410, 22018456385103600, 595499717140604912, 21682086461493768306, 926586132659265073590, 33197900968981072951580
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (n!)^2 * Sum_{k=0..floor(n/3)} Stirling2(n-2*k,k)/( (n-2*k)! * (n-k+1)! ).
|
|
PROG
|
(PARI) a(n) = n!^2*sum(k=0, n\3, stirling(n-2*k, k, 2)/((n-2*k)!*(n-k+1)!));
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|