This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A116870 #5 May 24 2024 16:12:37
%S A116870 429,1001,3003,9646,32123,109550,380162,1337220,4755402,17065365,
%T A116870 61714147,224661206,822574599,3027096930,11190101910,41532876060,
%U A116870 154712622870,578210935770,2167431271614,8146882131276
%N A116870 Seventh column of triangle A028364.
%C A116870 Also seventh diagonal of triangle A067323.
%F A116870 a(n) = A028364(n+6,6) = Sum_{k=0..6} C(k)*C(n+6-k), with the Catalan numbers C(n):=A000108(n).
%F A116870 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.
%Y A116870 Cf. A000108, A028364, A067323, A116869 (sixth column).
%K A116870 nonn,easy
%O A116870 0,1
%A A116870 _Wolfdieter Lang_, Mar 24 2006