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Numbers k such that binomial(2*k, k)/(k+2) is not an integer.
2

%I #11 Aug 14 2023 08:28:50

%S 1,2,4,6,7,10,13,14,25,28,30,31,34,37,40,62,79,82,85,88,91,94,106,109,

%T 112,115,118,121,126,241,244,247,250,253,254,256,268,271,274,277,280,

%U 283,322,325,328,331,334,337,349,352,355,358,361,364,510,727,730,733

%N Numbers k such that binomial(2*k, k)/(k+2) is not an integer.

%C A191107 is a subsequence as the relevant terms of A000984 are not divisible by 3 (see the comments in A005836 and A191107). - _Peter Munn_, Aug 14 2023

%t Select[ Range[735], Mod[Binomial[2#, # ], (# + 2)] != 0 &]

%Y Cf. A000108, A000984, A005836, A094575, A094576, A191107.

%K nonn

%O 1,2

%A _Robert G. Wilson v_, May 11 2004