This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A023832 #9 Jun 13 2025 07:45:22
%S A023832 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 A023832 19,23,20,21,20,20,26,25,23,26,27,28,24,29,29,30,31,31,29,31,26,29,33,
%U A023832 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 A023832 Sum of exponents in prime-power factorization of C(4n,n+2).
%H A023832 Harvey P. Dale, <a href="/A023832/b023832.txt">Table of n, a(n) for n = 1..1000</a>
%F A023832 a(n) = A023831(n) - A001222(3*n-1) + A001222(n+2). - _Amiram Eldar_, Jun 13 2025
%t A023832 Table[Total[Transpose[FactorInteger[Binomial[4n,n+2]]][[2]]],{n,80}] (* _Harvey P. Dale_, Jun 01 2014 *)
%t A023832 a[n_] := PrimeOmega[Binomial[4*n, n+2]]; Array[a, 100] (* _Amiram Eldar_, Jun 13 2025 *)
%o A023832 (PARI) a(n) = bigomega(binomial(4*n,n+2)); \\ _Amiram Eldar_, Jun 13 2025
%Y A023832 Cf. A001222, A023826, A023827, A023828, A023829, A023830, A023831, A023833, A023834, A023835, A023836.
%K A023832 nonn
%O A023832 1,1
%A A023832 _Clark Kimberling_