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 A357374 #10 Jun 29 2025 02:24:03
%S A357374 1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,2,0,0,0,0,1,1,0,3,1,1,0,0,0,0,0,0,1,1,
%T A357374 1,4,0,1,1,3,0,0,0,0,0,1,0,0,1,0,1,0,0,3,1,3,1,1,0,5,0,1,0,4,1,0,0,0,
%U A357374 1,0,0,0,0,1,0,0,1,0,0,0,2,1,0,5,1,1,1,3,0,5
%N A357374 Number of ordered factorizations of n into numbers > 1 with an even number of prime divisors (prime factors counted with multiplicity).
%H A357374 Amiram Eldar, <a href="/A357374/b357374.txt">Table of n, a(n) for n = 1..10000</a>
%F A357374 a(1) = 1; a(n) = Sum_{d|n, d < n} A065043(n/d) * a(d).
%t A357374 A065043[n_] := Boole[EvenQ[PrimeOmega[n]]]; a[1] = 1; a[n_] := a[n] = Sum[If[d < n, A065043[n/d] a[d], 0], {d, Divisors[n]}]; Table[a[n], {n, 1, 90}]
%Y A357374 Cf. A028260, A050334, A065043, A074206, A308063, A353337, A357375.
%K A357374 nonn
%O A357374 1,16
%A A357374 _Ilya Gutkovskiy_, Sep 25 2022