

A116345


Numbers n such that n times n+6 gives the concatenation of two numbers m and m+8.


6



41, 54, 40354308, 59645687, 39704957106129738595969799927611, 44505281604832422780051712184760, 45053875613995255103944518907120, 54946124386004744896055481092875, 55494718395167577219948287815235, 60295042893870261404030200072384, 68683652917306421895276391964227
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OFFSET

1,1


LINKS

Robert Israel, Table of n, a(n) for n = 1..41


EXAMPLE

59645687 * 59645693 = 35576083//35576091, where // denotes concatenation.


MAPLE

f:= proc(d) local R;
R:= map(rhs@op, {msolve(x^2=17, 10^d+1)});
R:= map(t > (t3) mod (10^d+1), R);
op(select(proc(t) local m; m:= (t*(t+6)8)/(10^d+1)+8; m >= 10^(d1) and m < 10^d end proc, R));
end proc;
sort(convert({seq(f(i), i=1..50)}, list)); # Robert Israel, Jan 17 2017


CROSSREFS

Cf. A116168, A116339, A116344, A116346, A116352.
Sequence in context: A115663 A282353 A118636 * A127333 A262722 A172406
Adjacent sequences: A116342 A116343 A116344 * A116346 A116347 A116348


KEYWORD

nonn,base


AUTHOR

Giovanni Resta, Feb 06 2006


EXTENSIONS

More terms from Robert Israel, Jan 17 2017


STATUS

approved



