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 A108455 #18 Oct 03 2021 19:27:48 %S A108455 1,0,1,0,1,1,0,1,1,2,0,1,1,2,1,0,1,1,2,1,2,0,1,1,3,1,3,1,0,1,1,2,1,3, %T A108455 1,3,0,1,1,3,1,4,1,4,2,0,1,1,2,1,3,1,4,2,2,0,1,1,3,1,5,1,6,2,3,1,0,1, %U A108455 1,3,1,3,1,4,3,3,1,4,0,1,1,3,1,5,1,7,2 %N A108455 Table read by antidiagonals: T(n,k) = number of factorizations of (n,k) into any number of pairs (i,j) with i > 0, j > 0 (and if i=1 then j=1). %C A108455 (a,b)*(x,y) = (a*x,b*y); unit is (1,1). %F A108455 Dirichlet g.f.: A(s, t) = exp(B(s, t)/1 + B(2*s, 2*t)/2 + B(3*s, 3*t)/3 + ...) where B(s, t) = zeta(s)*(zeta(t)-1). %e A108455 Table begins %e A108455 1 0 0 0 0 ... %e A108455 1 1 1 1 1 ... %e A108455 1 1 1 1 1 ... %e A108455 2 2 2 3 2 ... %e A108455 1 1 1 1 1 ... %e A108455 ... %e A108455 (6,4) = (3,4)*(2,1) = (3,1)*(2,4) = (3,2)*(2,2), so a(6,4)=4. %Y A108455 Cf. A108461, A051707 (main diagonal), A348157. Column 1: A001055. %K A108455 nonn,tabl %O A108455 1,10 %A A108455 _Christian G. Bower_, Jun 03 2005 %E A108455 Definition clarified and original interpretation restored by _Sean A. Irvine_, Oct 03 2021