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 A023829 #12 Jun 13 2025 07:45:09
%S A023829 0,4,3,5,6,8,9,9,6,10,10,13,11,15,14,15,13,17,14,17,15,19,20,18,18,21,
%T A023829 19,21,17,24,23,26,22,26,25,25,24,28,27,26,25,28,27,29,26,31,31,33,29,
%U A023829 34,28,31,30,33,33,32,30,34,35,37,34,42,41,41,37,40,38,42,37,44,42,41,42,45,45,46,43,45
%N A023829 Sum of exponents in prime-power factorization of C(4n,n-3).
%H A023829 Ivan Neretin, <a href="/A023829/b023829.txt">Table of n, a(n) for n = 3..10000</a>
%F A023829 From _Amiram Eldar_, Jun 13 2025 (Start)
%F A023829 a(n) = A001222(A004333(n)).
%F A023829 a(n) = A023828(n) - A001222(3*n+3) + A001222(n-2). (End)
%t A023829 Table[PrimeOmega[Binomial[4 n, n - 3]], {n, 3, 78}] (* _Ivan Neretin_, Nov 02 2017 *)
%o A023829 (PARI) a(n) = bigomega(binomial(4*n,n-3)); \\ _Amiram Eldar_, Jun 13 2025
%Y A023829 Cf. A001222, A004333, A023826, A023827, A023828, A023830, A023831, A023832, A023833, A023834, A023835, A023836.
%K A023829 nonn
%O A023829 3,2
%A A023829 _Clark Kimberling_
%E A023829 Offset corrected to 3 by _Ivan Neretin_, Nov 02 2017