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 A317146 #10 Feb 18 2024 12:27:34
%S A317146 0,1,1,-1,1,-1,1,0,-1,-1,1,1,1,-1,-1,0,1,1,1,1,-1,-1,1,-1,-1,-1,0,1,1,
%T A317146 2,1,0,-1,-1,-1,-1,1,-1,-1,-1,1,2,1,1,1,-1,1,1,-1,1,-1,1,1,-1,-1,-1,
%U A317146 -1,-1,1,-3,1,-1,1,0,-1,2,1,1,-1,2,1,2,1,-1,1,1
%N A317146 Moebius function in the ranked poset of factorizations of n into factors > 1, evaluated at the minimum (the prime factorization of n).
%C A317146 If x and y are factorizations of the same integer and it is possible to produce x by further factoring the factors of y, flattening, and sorting, then x <= y.
%F A317146 Product_{k>=2} 1/(1-a(n)/n^s) = 1+P(s), Re(s)>1, where P(s) is the prime zeta function. - _Tian Vlasic_, Jan 25 2024
%e A317146 The factorizations of 60 followed by their Moebius values are the following. The second column sums to 0, as required.
%e A317146 (2*2*3*5) -> -3
%e A317146 (2*2*15) -> 1
%e A317146 (2*3*10) -> 2
%e A317146 (2*5*6) -> 2
%e A317146 (2*30) -> -1
%e A317146 (3*4*5) -> 2
%e A317146 (3*20) -> -1
%e A317146 (4*15) -> -1
%e A317146 (5*12) -> -1
%e A317146 (6*10) -> -1
%e A317146 (60) -> 1
%Y A317146 Cf. A000837, A001055, A007716, A045778, A162247, A275024, A281113, A299202, A317144, A317145.
%K A317146 sign
%O A317146 1,30
%A A317146 _Gus Wiseman_, Jul 22 2018