OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
MATHEMATICA
T[n_, k_]:= T[n, k] = If[k==0 || k==n, 1, If[EvenQ[n] && k==(n-2)/2, T[n-1, k-1] + T[n-2, k-1] + T[n-1, k], T[n-1, k-1] + T[n-1, k]]];
Table[Sum[T[n, j], {j, 0, Floor[n/2]}], {n, 0, 35}] (* G. C. Greubel, Jul 22 2019 *)
PROG
(Sage)
@CachedFunction
def T(n, k):
if (k==0 or k==n): return 1
elif (mod(n, 2)==0 and k==(n-2)/2): return T(n-1, k-1) + T(n-2, k-1) + T(n-1, k)
else: return T(n-1, k-1) + T(n-1, k)
[sum(T(n, j) for j in (0..floor(n/2))) for n in (0..35)] # G. C. Greubel, Jul 22 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved