login
Sum of exponents in prime-power factorization of C(5n,n-1).
1

%I #8 Nov 08 2017 16:21:50

%S 0,2,3,5,5,7,8,9,8,10,10,12,14,13,15,14,14,16,14,17,17,18,18,21,18,22,

%T 24,23,23,24,24,24,23,23,24,25,24,26,28,29,25,30,27,29,33,30,30,32,32,

%U 33,33,37,37,38,38,37,36,40,39,44,39,41,40,39,37,39,38,39,42,41,44,44,43,43,44,46,48,49

%N Sum of exponents in prime-power factorization of C(5n,n-1).

%H Ivan Neretin, <a href="/A023838/b023838.txt">Table of n, a(n) for n = 1..10000</a>

%t Join[{0},Table[Total[Transpose[FactorInteger[Binomial[5 n,n-1]]] [[2]]],{n,2,80}]] (* _Harvey P. Dale_, Dec 31 2012 *)

%K nonn

%O 1,2

%A _Clark Kimberling_