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 A146533 #23 Feb 14 2025 17:31:01
%S A146533 1,7,21,70,245,882,3234,12012,45045,170170,646646,2469012,9464546,
%T A146533 36402100,140408100,542911320,2103781365,8167621770,31762973550,
%U A146533 123708423300,482462850870,1883902560540,7364346373020,28817007546600,112866612890850,442437122532132,1735714865318364
%N A146533 Catalan transform of A135092.
%F A146533 a(n) = Sum_{k=0..n} A039599(n,k)*A010687(k) = Sum_{k=0..n} A106566(n,k)*A135092(k).
%F A146533 a(n) = (7*C(2n,n) - 5*0^n)/2.
%F A146533 From _Stefano Spezia_, Feb 14 2025: (Start)
%F A146533 G.f.: (7/sqrt(1 - 4*x) - 5)/2.
%F A146533 E.g.f.: (7*exp(2*x)*BesselI(0, 2*x) - 5)/2. (End)
%t A146533 a[n_]:=(7*Binomial[2n,n]-5*KroneckerDelta[n,0])/2; Array[a,27,0] (* _Stefano Spezia_, Feb 14 2025 *)
%Y A146533 Cf. A088218, A000984, A029651, A100320, A029609, A144706.
%K A146533 nonn
%O A146533 0,2
%A A146533 _Philippe Deléham_, Oct 31 2008
%E A146533 a(23)-a(26) from _Stefano Spezia_, Feb 14 2025