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 A023834 #19 Jun 12 2025 08:07:59
%S A023834 0,2,3,5,6,6,7,11,9,11,12,12,13,15,14,15,15,16,15,18,17,20,22,22,22,
%T A023834 23,22,23,22,23,25,28,25,25,29,28,28,32,30,32,31,30,31,34,34,34,34,36,
%U A023834 35,37,34,36,38,38,38,40,38,41,42,42,40,44,46,44,43,43,44,46,42,46,47,47,46,48,47,50,51,50
%N A023834 Sum of exponents in prime-power factorization of C(4n,2n).
%H A023834 Ivan Neretin, <a href="/A023834/b023834.txt">Table of n, a(n) for n = 0..10000</a>
%F A023834 From _Amiram Eldar_, Jun 11 2025: (Start)
%F A023834 a(n) = A001222(A001448(n)).
%F A023834 a(n) = A023816(2*n).
%F A023834 a(n) = A022559(4*n) - 2*A022559(2*n). (End)
%t A023834 Join[{0}, Table[Total[FactorInteger[Binomial[4 n, 2 n]][[All, 2]]], {n, 77}]] (* _Ivan Neretin_, Oct 26 2017 *)
%o A023834 (PARI) a(n) = bigomega(binomial(4*n, 2*n)); \\ _Amiram Eldar_, Jun 11 2025
%Y A023834 Cf. A001222, A001448, A023816, A022559.
%K A023834 nonn
%O A023834 0,2
%A A023834 _Clark Kimberling_
%E A023834 Offset changed to 0 and a(0) prepended by _Amiram Eldar_, Jun 11 2025