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Numbers m such that if an urn contains m balls, with distinct positive numbers for each of c colors, for some c > 1 there exists a combination of c colors such that it is equally probable for c balls randomly selected from the urn to all be either the same color or distinct colors.
4

%I #15 Jul 29 2022 16:51:31

%S 4,8,9,11,12,16,25,29,36,46,48,49,55,57,64,66,81,88,89,97,99,100,120,

%T 121,144,145,147,156,162,164,165,166,169,176,196,217,225

%N Numbers m such that if an urn contains m balls, with distinct positive numbers for each of c colors, for some c > 1 there exists a combination of c colors such that it is equally probable for c balls randomly selected from the urn to all be either the same color or distinct colors.

%H William Rex Marshall, <a href="/A228653/a228653.txt">Pascal program</a>.

%o (Pascal) See the link section.

%Y Cf. A228650, A228651, A228652.

%K nonn,more

%O 1,1

%A _William Rex Marshall_, Aug 29 2013