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 A305567 #4 Jun 05 2018 22:36:19 %S A305567 1,1,1,1,1,2,1,1,1,1,7,1,1,1,1,1,4,2,1,1,2,1,1,7,1,1,1,1,1,32,7,2,1,1, %T A305567 1,1,1,7,1,1,1,7,1,1,1,8,4,2,1,1,1,1,32,2,7,1,1,1,1,1,32,7,1,2,1,1,7, %U A305567 1,1,1,7,1,1,1,1,1,136,32,4,7,2,1,1,1,2 %N A305567 Irregular triangle where T(n,k) is the number of finite sets of positive integers with least common multiple n and greatest common divisor k, where k runs over all divisors of n. %e A305567 Triangle begins: %e A305567 1 %e A305567 1 1 %e A305567 1 1 %e A305567 2 1 1 %e A305567 1 1 %e A305567 7 1 1 1 %e A305567 1 1 %e A305567 4 2 1 1 %e A305567 2 1 1 %e A305567 7 1 1 1 %e A305567 1 1 %e A305567 32 7 2 1 1 1 %e A305567 1 1 %e A305567 7 1 1 1 %e A305567 7 1 1 1 %e A305567 8 4 2 1 1 %e A305567 1 1 %e A305567 32 2 7 1 1 1 %e A305567 1 1 %e A305567 32 7 1 2 1 1 %t A305567 Table[Length[Select[Subsets[Divisors[n]],And[GCD@@#==k,LCM@@#==n]&]],{n,30},{k,Divisors[n]}] %Y A305567 Row lengths are A000005. %Y A305567 Cf. A076078, A181819, A281116, A285572, A290103, A304818, A305563, A305564, A305565, A305566. %K A305567 nonn,tabf %O A305567 1,6 %A A305567 _Gus Wiseman_, Jun 05 2018