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A239478
Integer solutions of the arithmetic differential equation m' = m + sqrt(m).
1
225, 184041, 741321, 1095543801
OFFSET
1,1
COMMENTS
a(5) > 10^17. - Giovanni Resta, Mar 20 2014
m = k^2, where k satisfies k' = (k+1)/2. - Charlie Neder, Mar 08 2019
EXAMPLE
For m = 225 we have that m' = 240, sqrt(225) = 15 and 240 = 225 + 15.
MAPLE
with(numtheory); P:= proc(q) local n, p, x;
for n from 1 to q do x:=n^2;
if x*add(op(2, p)/op(1, p), p=ifactors(x)[2])=n^2+n then print(n^2);
fi; od; end: P(10^9);
CROSSREFS
Sequence in context: A260864 A265420 A171109 * A304314 A109688 A195277
KEYWORD
nonn,more
AUTHOR
Paolo P. Lava, Mar 20 2014
STATUS
approved