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 A336423 #20 May 08 2021 08:30:23
%S A336423 1,1,1,2,1,0,1,4,2,0,1,5,1,0,0,8,1,5,1,5,0,0,1,14,2,0,4,5,1,0,1,16,0,
%T A336423 0,0,0,1,0,0,14,1,0,1,5,5,0,1,36,2,5,0,5,1,14,0,14,0,0,1,0,1,0,5,32,0,
%U A336423 0,1,5,0,0,1,35,1,0,5,5,0,0,1,36,8,0,1,0
%N A336423 Number of strict chains of divisors from n to 1 using terms of A130091 (numbers with distinct prime multiplicities).
%C A336423 A number's prime signature (row n of A124010) is the sequence of positive exponents in its prime factorization, so a number has distinct prime multiplicities iff all the exponents in its prime signature are distinct.
%e A336423 The a(n) chains for n = 4, 8, 12, 16, 24, 32:
%e A336423 4/1 8/1 12/1 16/1 24/1 32/1
%e A336423 4/2/1 8/2/1 12/2/1 16/2/1 24/2/1 32/2/1
%e A336423 8/4/1 12/3/1 16/4/1 24/3/1 32/4/1
%e A336423 8/4/2/1 12/4/1 16/8/1 24/4/1 32/8/1
%e A336423 12/4/2/1 16/4/2/1 24/8/1 32/16/1
%e A336423 16/8/2/1 24/12/1 32/4/2/1
%e A336423 16/8/4/1 24/4/2/1 32/8/2/1
%e A336423 16/8/4/2/1 24/8/2/1 32/8/4/1
%e A336423 24/8/4/1 32/16/2/1
%e A336423 24/12/2/1 32/16/4/1
%e A336423 24/12/3/1 32/16/8/1
%e A336423 24/12/4/1 32/8/4/2/1
%e A336423 24/8/4/2/1 32/16/4/2/1
%e A336423 24/12/4/2/1 32/16/8/2/1
%e A336423 32/16/8/4/1
%e A336423 32/16/8/4/2/1
%t A336423 strchns[n_]:=If[n==1,1,If[!UnsameQ@@Last/@FactorInteger[n],0,Sum[strchns[d],{d,Select[Most[Divisors[n]],UnsameQ@@Last/@FactorInteger[#]&]}]]];
%t A336423 Table[strchns[n],{n,100}]
%Y A336423 A336569 is the maximal case.
%Y A336423 A336571 does not require n itself to have distinct prime multiplicities.
%Y A336423 A000005 counts divisors.
%Y A336423 A007425 counts divisors of divisors.
%Y A336423 A074206 counts strict chains of divisors from n to 1.
%Y A336423 A130091 lists numbers with distinct prime multiplicities.
%Y A336423 A181796 counts divisors with distinct prime multiplicities.
%Y A336423 A253249 counts nonempty strict chains of divisors.
%Y A336423 A327498 gives the maximum divisor with distinct prime multiplicities.
%Y A336423 A336422 counts divisible pairs of divisors, both in A130091.
%Y A336423 A336424 counts factorizations using A130091.
%Y A336423 A336500 counts divisors of n in A130091 with quotient also in A130091.
%Y A336423 A337256 counts strict chains of divisors.
%Y A336423 Cf. A001055, A002033, A005117, A032741, A067824, A071625, A118914, A124010, A167865, A336568, A336570, A336941.
%K A336423 nonn
%O A336423 1,4
%A A336423 _Gus Wiseman_, Jul 27 2020