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 A108465 #3 Mar 30 2012 17:37:15 %S A108465 1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1, %T A108465 1,1,1,1,2,1,3,1,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,2,1,3,1,3,1,2,1,1,1,1, %U A108465 1,1,2,1,1,2,1,1,1,1,1,1,3,1,3,1,4,1,3,1,3,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1 %N A108465 Table read by antidiagonals: T(n,k) (n>=2) = number of factorizations of (n,k) into pairs (i,j) with i,j>1. %C A108465 (a,b)*(x,y)=(a*x,b*y). %F A108465 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)-1)*(zeta(t)-1). %e A108465 1 1 1 1 1 ... %e A108465 1 1 1 1 1 ... %e A108465 1 1 2 1 2 ... %e A108465 1 1 1 1 1 ... %e A108465 1 1 2 1 3 ... %e A108465 (8,6)=(4,3)*(2,2)=(4,2)*(2,3), so a(8,6)=3. %Y A108465 Cf. A108461. Columns 4, 6: A038548 (n>1), A032741. Main diagonal: A108466. %K A108465 nonn,tabl %O A108465 2,13 %A A108465 _Christian G. Bower_, Jun 03 2005