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.
49//50 = 66 * 75, where // denotes concatenation. 49//58 = 67 * 74.
q:= proc(d,m) local R,t,a,b,x,q;
t:= 10^d+1;
R:= NULL;
for a in numtheory:-divisors(t) do
b:= t/a;
if igcd(a,b) > 1 then next fi;
for x from chrem([0,-m],[a,b]) by t do
q:= x*(x+m)/t;
if q >= 10^d then break fi;
if q >= 10^(d-1) then R:= R, x fi;
od od;
sort(convert({R},list));
end proc:
seq(op(q(d,9)),d=1..10)
59645686 * 59645694 = 35576083//35576084, where // denotes concatenation.
6650265 * 6650274 = 4422608//4422610, where // denotes concatenation.
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