A023844 - OEIS

%I #9 Nov 08 2017 19:11:15

%S 2,4,4,7,7,8,9,10,10,11,12,14,15,13,14,17,15,16,16,20,19,18,18,22,19,

%T 22,24,24,26,24,24,25,24,24,24,28,26,26,28,31,27,31,27,31,34,30,31,31,

%U 33,33,35,39,36,38,38,40,37,41,40,45,44,38,37,40,40,40,38,40,44,41,44,47,43,45,45,47,49

%N Sum of exponents in prime-power factorization of C(5n,n+2).

%H Ivan Neretin, <a href="/A023844/b023844.txt">Table of n, a(n) for n = 1..10000</a>

%t Table[PrimeOmega[Binomial[5 n, n + 2]], {n, 77}] (* _Ivan Neretin_, Nov 08 2017 *)

%o (PARI) a(n) = bigomega(binomial(5*n, n+2)); \\ _Michel Marcus_, Sep 30 2013

%K nonn

%O 1,1

%A _Clark Kimberling_