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 A023849 #14 Jun 14 2025 04:19:09 %S A023849 0,3,4,7,7,8,11,13,11,11,13,15,17,18,18,18,19,18,18,25,20,21,24,26,24, %T A023849 27,28,28,29,29,31,33,30,30,33,34,32,36,37,38,36,34,33,37,38,36,39,40, %U A023849 40,42,40,47,45,45,47,48,45,47,49,52,50,52,52,51,51,50,50,54,52,52,57,58,55,56,57,60,63 %N A023849 Sum of exponents in prime-power factorization of binomial(5n, 2n-2). %H A023849 Ivan Neretin, <a href="/A023849/b023849.txt">Table of n, a(n) for n = 1..10000</a> %F A023849 a(n) = A023848(n) - A001222(3*n+2) + A001222(2*n-1). - _Amiram Eldar_, Jun 14 2025 %t A023849 Table[PrimeOmega[Binomial[5 n, 2 n - 2]], {n, 77}] (* _Ivan Neretin_, Nov 09 2017 *) %o A023849 (PARI) a(n) = bigomega(binomial(5*n,2*n-2)); \\ _Amiram Eldar_, Jun 14 2025 %Y A023849 Cf. A001222, A023837, A023839, A023840, A023841, A023842, A023843, A023844, A023845, A023846, A023847, A023848, A023850, A023851. %K A023849 nonn %O A023849 1,2 %A A023849 _Clark Kimberling_