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 A023850 #15 Jun 14 2025 04:19:16 %S A023850 2,5,5,7,9,10,11,14,13,14,14,15,17,18,19,20,19,21,18,25,26,21,24,26, %T A023850 25,30,28,28,31,32,31,32,32,32,33,36,34,36,38,37,37,39,33,38,40,37,39, %U A023850 41,40,43,43,46,49,47,47,50,46,50,47,52,52,52,52,51,53,53,48,53,57,53,57,58,56,59,58,60 %N A023850 Sum of exponents in prime-power factorization of binomial(5n, 2n+1). %H A023850 Ivan Neretin, <a href="/A023850/b023850.txt">Table of n, a(n) for n = 1..10000</a> %F A023850 a(n) = A023847(n) + A001222(3*n) - A001222(2*n+1). - _Amiram Eldar_, Jun 14 2025 %t A023850 Table[PrimeOmega[Binomial[5 n, 2 n + 1]], {n, 76}] (* _Ivan Neretin_, Nov 09 2017 *) %o A023850 (PARI) a(n) = bigomega(binomial(5*n,2*n+1)); \\ _Amiram Eldar_, Jun 14 2025 %Y A023850 Cf. A001222, A023837, A023839, A023840, A023841, A023842, A023843, A023844, A023845, A023846, A023847, A023848, A023849, A023851. %K A023850 nonn %O A023850 1,1 %A A023850 _Clark Kimberling_