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A028321
Even elements to the right of the central elements of the 5-Pascal triangle A028313.
5
6, 8, 36, 10, 46, 12, 378, 204, 840, 582, 82, 14, 1422, 96, 3102, 1210, 16, 562, 8866, 5148, 144, 18, 14014, 2912, 162, 20, 78078, 55848, 31668, 14028, 4740, 1176, 165308, 133926, 87516, 45696, 18768, 5916, 222, 22, 299234, 221442, 133212
OFFSET
0,1
LINKS
MATHEMATICA
b:= Table[If[n<2, 1, Binomial[n, k] +3*Binomial[n-2, k-1]], {n, 0, 30}, {k, Floor[n/2]+1, n}]//Flatten;
Select[b, EvenQ] (* G. C. Greubel, Jul 02 2024 *)
PROG
(Magma)
T:= func< n, k | n le 1 select 1 else Binomial(n, k) + 3*Binomial(n-2, k-1) >; // T = A028323
b:=[T(n, k): k in [1+Floor(n/2)..n], n in [0..100]];
[b[n]: n in [1..150] | (b[n] mod 2) eq 0]; // G. C. Greubel, Jul 02 2024
(SageMath)
def A028323(n, k): return binomial(n, k) + 3*binomial(n-2, k-1) - 3*int(n==0)
b=flatten([[A028323(n, k) for k in range(1+(n//2), n+1)] for n in range(101)])
[b[n] for n in (1..150) if b[n]%2==0] # G. C. Greubel, Jul 02 2024
KEYWORD
nonn,tabf
EXTENSIONS
More terms from James A. Sellers
STATUS
approved