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 A382083 #6 Mar 17 2025 22:19:23 %S A382083 3,4,5,6,7,8,9,10,11,12,13,14,15,210,13,12,11,11,12,13,14,15,210, %T A382083 17160,9,8,210,5,6,7,8,90,11,12,132,30240,6,7,8,9,72,7,7,8,8,8,9,72,7, %U A382083 7,72,10,11,12,132,10,9,336,6,7,8,9,9,9,10,90,8,7,7,72,10 %N A382083 a(n) is the ratio between A382067(n) and A382067(n+2). %C A382083 A382067(n)*A382067(n+1) and A382067(n+1)*A382067(n+2) are factorial numbers, the largest of which, say M, is a multiple of the smallest, say m: a(n) = M/m. %H A382083 Rémy Sigrist, <a href="/A382083/b382083.txt">Table of n, a(n) for n = 1..10000</a> %H A382083 Rémy Sigrist, <a href="/A382083/a382083.gp.txt">PARI program</a> %F A382083 a(n) = max(A382067(n), A382067(n+2)) / min(A382067(n), A382067(n+2)). %e A382083 A382067(7) = 105, A382067(7+2) = 945, so a(7) = 945 / 105 = 9. %e A382083 A382067(14) = 645120, A382067(14+2) = 3072, so a(14) = 645120 / 3072 = 210. %o A382083 (PARI) \\ See Links section. %Y A382083 Cf. A382067. %K A382083 nonn %O A382083 1,1 %A A382083 _Rémy Sigrist_, Mar 15 2025