A194124 - OEIS

%I #11 Aug 03 2023 05:12:34

%S 0,2,5,14,28,62,117,242,451,912,1703,3418,6420,12854,24293,48602,

%T 92359,184736,352695,705410,1352055,2704132,5200275,10400574,20058273,

%U 40116572,77558731,155117490,300540164,601080358,1166803077,2333606186

%N a(n) = Sum_{k=0..floor(n/2)} (C(n+2, k+2) - C(n+2, k)).

%t T[n_, k_] := Binomial[n + 2, k + 2] - Binomial[n + 2, k]

%t s[n_] := Sum[T[n, k], {k, 0, Floor[n/2]}]

%t Flatten[Table[s[n], {n, 0, 35}]]  (* A194124 *)

%Y Cf. A194123.

%K nonn

%O 0,2

%A _Clark Kimberling_, Aug 16 2011

%E Definition corrected by _Georg Fischer_, Aug 03 2023