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n times n+2 gives the concatenation of two numbers m and m-9.
5

%I #5 Jan 04 2021 18:18:00

%S 4622,5377,7980,34952,46865,53134,65047,7056186,9783459,43176670,

%T 56823329,97999800,447255476452,552744523547,755424659534,

%U 799319866013,997999998000,4297663349523,5702336650476,6971253996227

%N n times n+2 gives the concatenation of two numbers m and m-9.

%H Robert Israel, <a href="/A116226/b116226.txt">Table of n, a(n) for n = 1..1122</a>

%e 97999800 * 97999802 = 96039609//96039600, where // denotes

%e concatenation.

%p A:= NULL: count:= 0:

%p for d from 2 to 40 do

%p R:= [msolve(x^2=-8,10^d+1)];

%p T:= sort(select(t -> t*(t+2) mod 10^d >= 10^(d-1), map(t -> subs(t,x-1),R)));

%p count:= count+nops(T);

%p A:= A, op(T);

%p od:

%p A; # _Robert Israel_, Jan 04 2021

%Y Cf. A116095, A116225, A116227, A116233.

%K nonn,base

%O 1,1

%A _Giovanni Resta_, Feb 06 2006