|
|
A116870
|
|
Seventh column of triangle A028364.
|
|
0
|
|
|
429, 1001, 3003, 9646, 32123, 109550, 380162, 1337220, 4755402, 17065365, 61714147, 224661206, 822574599, 3027096930, 11190101910, 41532876060, 154712622870, 578210935770, 2167431271614, 8146882131276
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
Also seventh diagonal of triangle A067323.
|
|
LINKS
|
|
|
FORMULA
|
a(n)= A028364(n+6,6) = sum(C(k)*C(n+6-k),k=0..6), with the Catalan numbers C(n):=A000108(n).
G.f.: (c6(x)*c(x)-(c6(x)-1)/x)/x^6, with c6(x) := sum(C(k)*x^k, k=0..6) and c(x) is the g.f. for the Catalan numbers A000108.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|