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Sum of exponents in prime-power factorization of binomial(6n, 2n).
3

%I #19 Nov 12 2017 06:08:39

%S 2,4,6,6,8,11,11,10,11,13,18,17,17,17,19,18,20,19,22,22,23,27,28,27,

%T 26,29,31,29,31,32,35,31,31,31,35,33,35,37,36,36,37,39,43,42,43,46,47,

%U 43,44,45,48,47,46,50,53,51,52,53,57,55,55,56,56,51,52,54,56,56,55,58,62,58,59,60,61,62

%N Sum of exponents in prime-power factorization of binomial(6n, 2n).

%H Ivan Neretin, <a href="/A023853/b023853.txt">Table of n, a(n) for n = 1..10000</a>

%t Table[Total[Transpose[FactorInteger[Binomial[6 n,2 n]]] [[2]]],{n,80}] (* _Harvey P. Dale_, Jun 28 2011 *)

%Y Cf. A023852, A023854.

%K nonn

%O 1,1

%A _Clark Kimberling_