A194124 a(n) = Sum_{k=0..floor(n/2)} (C(n+2, k+2) - C(n+2, k)).

0, 2, 5, 14, 28, 62, 117, 242, 451, 912, 1703, 3418, 6420, 12854, 24293, 48602, 92359, 184736, 352695, 705410, 1352055, 2704132, 5200275, 10400574, 20058273, 40116572, 77558731, 155117490, 300540164, 601080358, 1166803077, 2333606186

Offset: 0

Author

Clark Kimberling, Aug 16 2011

Keywords

• nonn

Crossrefs

Cf. A194123.

Programs

Mathematica

T[n_, k_] := Binomial[n + 2, k + 2] - Binomial[n + 2, k]
s[n_] := Sum[T[n, k], {k, 0, Floor[n/2]}]
Flatten[Table[s[n], {n, 0, 35}]]  (* A194124 *)

Extensions

Definition corrected by Georg Fischer, Aug 03 2023