A259077 Non-palindromic composite numbers such that n' = [Rev(n)]', where n' is the arithmetic derivative of n.

366, 663, 3245, 3685, 5423, 5863, 8178, 8718, 14269, 15167, 16237, 18449, 18977, 36679, 73261, 76151, 77981, 94481, 96241, 97663, 140941, 149041, 150251, 152051, 196891, 198691, 302363, 308459, 319853, 335148, 358913, 363203, 841533, 921239, 932129, 954803, 958099, 990859

Offset: 1

Author

Paolo P. Lava, Jun 18 2015

Keywords

• nonn
• base

Examples

			366' = 311 = 663';
3245' = 999 = 5423'; etc.
		

Crossrefs

Cf. A003415, A004086, A085329, A097647.

Programs

Maple

with(numtheory): T:=proc(w) local x,y,z; x:=w; y:=0;
for z from 1 to ilog10(x)+1 do y:=10*y+(x mod 10); x:=trunc(x/10);
od; y; end: P:=proc(q) local a,b,p,n;
for n from 1 to q do if not isprime(n) then if n<>T(n) then a:=n*add(op(2,p)/op(1,p),p=ifactors(n)[2]);
b:=T(n)*add(op(2,p)/op(1,p),p=ifactors(T(n))[2]);
if a=b then print(n); fi; fi; fi; od; end: P(10^9);

Formula

Solutions to A003415(n) = A003415(A004086(n)), with A004086(n) <> n.