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In decimal representation: smallest k>1 such that n is a substring of n*k.
4

%I #8 Feb 23 2025 09:25:35

%S 2,10,6,10,6,3,6,10,6,10,10,10,10,10,10,10,10,10,10,10,6,10,10,10,10,

%T 5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,6,10,10,10,10,10,10,10,

%U 10,10,3,10,10,10,10,10,10,10,10,10,6,10,10,10,10,10,10,10,10,10,10

%N In decimal representation: smallest k>1 such that n is a substring of n*k.

%C 1 < a(n) <= 10; 4, 7 and 8 do not occur.

%F a(n) = A087217(n)/n for n>0. - _Reinhard Zumkeller_, Aug 26 2003

%o (Python)

%o def a(n):

%o s = str(n)

%o return next(k for k in range(2, 11) if s in str(n*k))

%o print([a(n) for n in range(71)]) # _Michael S. Branicky_, Feb 23 2025

%Y Cf. A045537.

%K nonn,base

%O 0,1

%A _Reinhard Zumkeller_, Aug 24 2003