A116870 Seventh column of triangle A028364.

429, 1001, 3003, 9646, 32123, 109550, 380162, 1337220, 4755402, 17065365, 61714147, 224661206, 822574599, 3027096930, 11190101910, 41532876060, 154712622870, 578210935770, 2167431271614, 8146882131276

Offset: 0

Author

Wolfdieter Lang, Mar 24 2006

Keywords

• nonn
• easy

Comments

Also seventh diagonal of triangle A067323.

Crossrefs

Cf. A000108, A028364, A067323, A116869 (sixth column).

Formula

a(n) = A028364(n+6,6) = Sum_{k=0..6} C(k)*C(n+6-k), with the Catalan numbers C(n):=A000108(n).

G.f.: (c6(x)*c(x)-(c6(x)-1)/x)/x^6, with c6(x) := Sum_{k=0..6} C(k)*x^k and c(x) is the g.f. for the Catalan numbers A000108.