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 A023847 #23 Jan 19 2019 02:47:47 %S A023847 0,2,4,4,6,8,8,11,11,11,13,13,13,18,16,17,17,19,18,18,22,24,21,23,23, %T A023847 24,28,26,26,30,29,32,28,30,31,31,32,35,35,36,36,36,37,33,35,38,36,39, %U A023847 36,40,40,41,45,48,43,46,46,45,50,47,49,52,52,49,46,51,51,50,50,55,51,57,54,57,57,55,59,62 %N A023847 Sum of exponents in prime-power factorization of binomial(5n, 2n). %H A023847 Ivan Neretin, <a href="/A023847/b023847.txt">Table of n, a(n) for n = 0..10000</a> (corrected by Sean A. Irvine, Jan 18 2019) %F A023847 a(n) = A001222(A001450(n)). - _Michel Marcus_, Nov 09 2017 %t A023847 Table[PrimeOmega[Binomial[5 n, 2 n]], {n, 77}] (* _Ivan Neretin_, Nov 09 2017 *) %o A023847 (PARI) a(n) = bigomega(binomial(5*n, 2*n)); \\ _Michel Marcus_, Nov 09 2017 %o A023847 (PARI) a(n) = my(res = 0); forprime(p = 2, 5*n, res += (val(5*n, p) - val(2*n, p) - val(3*n, p))); res %o A023847 val(n, p) = my(r=0); while(n, r+=n\=p); r \\ _David A. Corneth_, Nov 09 2017 %Y A023847 Cf. A001222, A001450, A022559. %Y A023847 Cf. A023816-A023854. %K A023847 nonn,easy %O A023847 0,2 %A A023847 _Clark Kimberling_ %E A023847 a(0) = 0 prepended by _David A. Corneth_, Nov 09 2017