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A346618
Triangle read by rows: T(n,k) = 1 iff 2 divides binomial(n,k) but 4 does not (0 <= k <= n).
1
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0
OFFSET
0
LINKS
P. Goetgheluck, Computing binomial coefficients, The American Mathematical Monthly 94.4 (1987): 360-365. See Fig. 2.
EXAMPLE
Triangle begins:
0,
0, 0,
0, 1, 0,
0, 0, 0, 0,
0, 0, 1, 0, 0,
0, 0, 1, 1, 0, 0,
0, 1, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 1, 1, 0, 0, 0, 0,
0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Aug 21 2021
STATUS
approved