A346618 Triangle read by rows: T(n,k) = 1 iff 2 divides binomial(n,k) but 4 does not (0 <= k <= n).

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

Table of n, a(n) for n=0..92.

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

Cf. A007318, A007814, A047999, A346619.

Sequence in context: A369036 A354948 A330551 * A079260 A358678 A359150

Adjacent sequences: A346615 A346616 A346617 * A346619 A346620 A346621

Keyword

nonn,tabl

Author

N. J. A. Sloane, Aug 21 2021

Status

approved