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Reciprocal of n terminates with an infinite repetition of digit 6. Multiples of 10 are omitted.
6

%I #16 Dec 27 2018 03:07:56

%S 6,15,24,96,375,384,1536,6144,9375,24576,98304,234375,393216,1572864,

%T 5859375,6291456,25165824,100663296,146484375,402653184,1610612736,

%U 3662109375,6442450944,25769803776,91552734375,103079215104

%N Reciprocal of n terminates with an infinite repetition of digit 6. Multiples of 10 are omitted.

%D A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 73-82.

%H <a href="/index/1#1overn">Index entries for sequences related to decimal expansion of 1/n</a>

%F Numbers of the form 3*2^(2i+1) and 3*5^(2i+1) [i >= 0].

%e 1/6291456 = 0.0000001589457194010416666666666...

%t Module[{r5=20,r2},r2=Ceiling[r5*Log[2,5]];Flatten[{3*2^Range[ 1,r2,2],3*5^Range[ 1,r5,2]}]]//Sort (* _Harvey P. Dale_, Oct 15 2017 *)

%o (ARIBAS): a064560(1,500000000,6,36). For definition of a064560 see A064560.

%Y Cf. A064560, A064561, A064562, A064563, A064564, A064566, A064567.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Sep 20 2001

%E More terms from _Klaus Brockhaus_, Sep 21 2001

%E Further terms from _James A. Sellers_, Sep 28 2001