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a(n) is the smallest integer such that the mantissa of 1/a(n) contains n.
0

%I #10 Mar 20 2022 23:23:45

%S 1,4,3,7,2,6,7,7,11,19,9,8,23,7,19,6,17,49,21,29,19,31,13,29,4,19,29,

%T 7,17,13,19,31,3,23,17,19,27,26,23,47,17,7,23,29,22,26,17,29,51,59,29,

%U 17,26,22,18,23,7,17,47,23,21,16,19,17,23,6,49,19,13,17,7,29,19,47,29,13

%N a(n) is the smallest integer such that the mantissa of 1/a(n) contains n.

%C 1/a(n) must contain also at least one nonzero digit after n if n ends with 0; e.g., a(10)=19 because 19 is the smallest integer whose reciprocal (0.052631578947368421052...) contains the digits "10" followed by at least one nonzero digit (to avoid 1/10 = 0.1000...).

%e 11 is the smallest integer whose reciprocal (0.0909...) contains 9, hence a(9) = 11.

%K base,nonn

%O 1,2

%A _Benoit Cloitre_, Aug 09 2002

%E Corrected, edited, and more terms added by _Jon E. Schoenfield_, May 08 2010