login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Sum of exponents in prime-power factorization of binomial(5n, n+3).
1

%I #11 Nov 09 2017 21:11:18

%S 1,5,4,8,7,8,9,12,9,12,13,14,14,16,13,18,15,17,16,22,17,18,20,21,19,

%T 24,23,26,24,24,24,27,23,25,25,28,24,29,28,32,29,30,28,33,31,31,31,32,

%U 32,36,33,39,36,38,38,42,35,43,42,45,41,39,38,41,40,40,38,44,41,42,45,47,43,47,44,48,48

%N Sum of exponents in prime-power factorization of binomial(5n, n+3).

%H Ivan Neretin, <a href="/A023845/b023845.txt">Table of n, a(n) for n = 1..10000</a>

%t Table[Total[Transpose[FactorInteger[Binomial[5n,n+3]]][[2]]],{n,80}] (* _Harvey P. Dale_, Aug 12 2012 *)

%Y Cf. A023816-A023854.

%K nonn

%O 1,2

%A _Clark Kimberling_