A023832 - OEIS

%I #5 Jun 01 2014 11:27:37

%S 2,3,6,6,8,6,9,10,12,10,12,12,13,12,15,16,16,16,16,17,21,16,18,20,21,

%T 19,23,20,21,20,20,26,25,23,26,27,28,24,29,29,30,31,31,29,31,26,29,33,

%U 31,31,34,32,33,31,31,33,35,33,35,36,38,35,38,40,40,39,41,41,44,40,40,46,43,43,48,44,48

%N Sum of exponents in prime-power factorization of C(4n,n+2).

%H Harvey P. Dale, <a href="/A023832/b023832.txt">Table of n, a(n) for n = 1..1000</a>

%t Table[Total[Transpose[FactorInteger[Binomial[4n,n+2]]][[2]]],{n,80}] (* _Harvey P. Dale_, Jun 01 2014 *)

%K nonn

%O 1,1

%A _Clark Kimberling_