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 A248814 #36 Jan 25 2025 18:58:17 %S A248814 1,1,924,17153136,2308743493056,1370874167589326400, %T A248814 2670177736637149247308800,14007180988362844601443040716800, %U A248814 171889289584866507880743491472699801600,4439413043841128802009762476941510771390464000 %N A248814 a(n) = (6n)!/(6!^n). %C A248814 Column 6 of A187783. %C A248814 Number of permutations of a multiset that contains n different elements, each occurring 6 times. %H A248814 <a href="/A248814/b248814.txt">Table of n, a(n) for n = 0..54</a> %F A248814 a(n) = (6n)!/(6!^n). %e A248814 a(3) = (6*3)!/(6!^3) = 17153136 is the number of permutations of a multiset that contains 3 different elements 6 times, e.g., {1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3}. %p A248814 A248814:=n->(6*n)!/(720^n): seq(A248814(n), n=0..10); _Wesley Ivan Hurt_, Nov 01 2014 %t A248814 Table[(6 n)!/(720^n), {n, 0, 10}] (* _Wesley Ivan Hurt_, Nov 01 2014 *) %o A248814 (Magma) [Factorial(6*n)/(720^n) : n in [0..10]]; // _Wesley Ivan Hurt_, Nov 01 2014 %Y A248814 Cf. A187783. %K A248814 nonn,easy %O A248814 0,3 %A A248814 _Tilman Piesk_, Oct 29 2014