A067315 - OEIS

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A067315

Numbers k such that binomial(k, floor(k/2)) is not divisible by k.

4, 6, 8, 10, 14, 16, 18, 20, 22, 24, 26, 28, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 86, 88, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 134, 136, 138, 140

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OFFSET

1,1

COMMENTS

All the terms are even. - Amiram Eldar, Aug 24 2024

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[ Range[ 2, 150, 2 ], Mod[ Binomial[ #, #/2 ], # ]>0& ]

PROG

(PARI) is(k) = binomial(k, k\2) % k > 0; \\ Amiram Eldar, Aug 24 2024

CROSSREFS