cp's OEIS Frontend

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.

A239478 Integer solutions of the arithmetic differential equation m' = m + sqrt(m).

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%I A239478 #16 Jun 12 2022 22:51:59
%S A239478 225,184041,741321,1095543801
%N A239478 Integer solutions of the arithmetic differential equation m' = m + sqrt(m).
%C A239478 a(5) > 10^17. - _Giovanni Resta_, Mar 20 2014
%C A239478 m = k^2, where k satisfies k' = (k+1)/2. - _Charlie Neder_, Mar 08 2019
%e A239478 For m = 225 we have that m' = 240, sqrt(225) = 15 and 240 = 225 + 15.
%p A239478 with(numtheory); P:= proc(q) local n,p,x;
%p A239478 for n from 1 to q do x:=n^2;
%p A239478 if x*add(op(2,p)/op(1,p),p=ifactors(x)[2])=n^2+n then print(n^2);
%p A239478 fi; od; end: P(10^9);
%Y A239478 Cf. A003415, A239479.
%K A239478 nonn,more
%O A239478 1,1
%A A239478 _Paolo P. Lava_, Mar 20 2014