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A026775 a(n) = T(n, floor(n/2)), T given by A026769. 11
1, 1, 2, 4, 7, 17, 28, 76, 120, 352, 538, 1674, 2493, 8129, 11854, 40156, 57558, 201236, 284392, 1020922, 1426038, 5234660, 7241356, 27089726, 37173304, 141335846, 192638992, 742712598, 1006564439, 3927908193, 5297715628 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
MAPLE
T:= proc(n, k) option remember;
if n<0 then 0;
elif k=0 or k=n then 1;
elif n=2 and k=1 then 2;
elif k <= (n-1)/2 then
procname(n-1, k-1)+procname(n-2, k-1)+procname(n-1, k) ;
else
procname(n-1, k-1)+procname(n-1, k) ;
end if ;
end proc;
seq(T(n, floor(n/2)), n=0..30); # G. C. Greubel, Nov 01 2019
MATHEMATICA
T[n_, k_]:= T[n, k]= If[n<0, 0, If[k==0 || k==n, 1, If[n==2 && k==1, 2, If[k<=(n-1)/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[T[n, Floor[n/2]], {n, 0, 30}] (* G. C. Greubel, Nov 01 2019 *)
PROG
(Sage)
@CachedFunction
def T(n, k):
if (k==0 or k==n): return 1
elif (n==2 and k==1): return 2
elif (k<=(n-1)/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)
[T(n, floor(n/2)) for n in (0..30)] # G. C. Greubel, Nov 01 2019
CROSSREFS
Sequence in context: A293793 A301745 A348449 * A299294 A299102 A027238
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)