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A249540
Digits of n' end in n, where n' is the arithmetic derivative of n.
3
50000, 87500, 600000, 987500, 4782272, 24800000, 45600000, 85650000, 95200000, 962650000, 999987500, 2999062272, 4285650000, 7500000000, 9977650000, 9999987500, 23076922368, 74837600000, 80000000000, 85479410112, 90000000000, 280000000000, 480000000000
OFFSET
1,1
COMMENTS
a(39) > 5*10^13. - Hiroaki Yamanouchi, Aug 27 2015
LINKS
Hiroaki Yamanouchi, Table of n, a(n) for n = 1..38
EXAMPLE
Arithmetic derivative of 50000 is 150000.
MAPLE
with(numtheory): P:=proc(q) local a, b, n, p;
for n from 1 to q do a:=n*add(op(2, p)/op(1, p), p=ifactors(n)[2]);
if a>n then b:=ilog10(n)+1;
if n=(a mod 10^b) then print(n); fi;
fi; od; end: P(10^9);
CROSSREFS
Cf. A003415.
Sequence in context: A159233 A145538 A106773 * A271115 A269475 A160932
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava, Oct 31 2014
EXTENSIONS
a(10)-a(23) from Hiroaki Yamanouchi, Aug 27 2015
STATUS
approved