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 A023851 #14 Jun 14 2025 04:19:20
%S A023851 1,4,5,6,8,9,10,12,12,13,15,15,16,16,17,19,18,20,18,23,25,21,22,24,24,
%T A023851 28,29,27,29,31,28,31,32,30,32,35,34,34,36,37,35,40,36,35,39,36,37,40,
%U A023851 38,41,43,46,46,46,45,48,46,49,47,51,52,50,48,49,51,52,49,52,55,53,54,58,55,57,60,58,62
%N A023851 Sum of exponents in prime-power factorization of binomial(5n, 2n+2).
%H A023851 Ivan Neretin, <a href="/A023851/b023851.txt">Table of n, a(n) for n = 1..10000</a>
%F A023851 a(n) = A023850(n) + A001222(3*n-1) - A001222(2*n+2). - _Amiram Eldar_, Jun 14 2025
%t A023851 Table[PrimeOmega[Binomial[5 n, 2 n + 2]], {n, 77}] (* _Ivan Neretin_, Nov 09 2017 *)
%o A023851 (PARI) a(n) = bigomega(binomial(5*n,2*n+2)); \\ _Amiram Eldar_, Jun 14 2025
%Y A023851 Cf. A001222, A023837, A023839, A023840, A023841, A023842, A023843, A023844, A023845, A023846, A023847, A023848, A023849, A023851.
%K A023851 nonn
%O A023851 1,2
%A A023851 _Clark Kimberling_
%E A023851 Missing terms a(31), a(32) fixed by _Ivan Neretin_, Nov 09 2017