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 A194124 #11 Aug 03 2023 05:12:34
%S A194124 0,2,5,14,28,62,117,242,451,912,1703,3418,6420,12854,24293,48602,
%T A194124 92359,184736,352695,705410,1352055,2704132,5200275,10400574,20058273,
%U A194124 40116572,77558731,155117490,300540164,601080358,1166803077,2333606186
%N A194124 a(n) = Sum_{k=0..floor(n/2)} (C(n+2, k+2) - C(n+2, k)).
%t A194124 T[n_, k_] := Binomial[n + 2, k + 2] - Binomial[n + 2, k]
%t A194124 s[n_] := Sum[T[n, k], {k, 0, Floor[n/2]}]
%t A194124 Flatten[Table[s[n], {n, 0, 35}]] (* A194124 *)
%Y A194124 Cf. A194123.
%K A194124 nonn
%O A194124 0,2
%A A194124 _Clark Kimberling_, Aug 16 2011
%E A194124 Definition corrected by _Georg Fischer_, Aug 03 2023