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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.

A023844 Sum of exponents in prime-power factorization of C(5n,n+2).

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%I A023844 #13 Jun 14 2025 04:18:42
%S A023844 2,4,4,7,7,8,9,10,10,11,12,14,15,13,14,17,15,16,16,20,19,18,18,22,19,
%T A023844 22,24,24,26,24,24,25,24,24,24,28,26,26,28,31,27,31,27,31,34,30,31,31,
%U A023844 33,33,35,39,36,38,38,40,37,41,40,45,44,38,37,40,40,40,38,40,44,41,44,47,43,45,45,47,49
%N A023844 Sum of exponents in prime-power factorization of C(5n,n+2).
%H A023844 Ivan Neretin, <a href="/A023844/b023844.txt">Table of n, a(n) for n = 1..10000</a>
%F A023844 a(n) = A023843(n) + A001222(4*n-1) - A001222(n+2). - _Amiram Eldar_, Jun 14 2025
%t A023844 Table[PrimeOmega[Binomial[5 n, n + 2]], {n, 77}] (* _Ivan Neretin_, Nov 08 2017 *)
%o A023844 (PARI) a(n) = bigomega(binomial(5*n, n+2)); \\ _Michel Marcus_, Sep 30 2013
%Y A023844 Cf. A001222, A023837, A023839, A023840, A023841, A023842, A023843, A023845, A023846, A023847, A023848, A023849, A023850, A023851.
%K A023844 nonn
%O A023844 1,1
%A A023844 _Clark Kimberling_