A246004 The duodecimal period of 1/n, or 0 if 1/n terminates.

0, 0, 0, 0, 4, 0, 6, 0, 0, 4, 1, 0, 2, 6, 4, 0, 16, 0, 6, 4, 6, 1, 11, 0, 20, 2, 0, 6, 4, 4, 30, 0, 1, 16, 12, 0, 9, 6, 2, 4, 40, 6, 42, 1, 4, 11, 23, 0, 42, 20, 16, 2, 52, 0, 4, 6, 6, 4, 29, 4, 15, 30, 6, 0, 4, 1, 66, 16, 11, 12, 35, 0, 36, 9, 20, 6, 6, 2, 26, 4, 0, 40, 41, 6, 16, 42, 4, 1, 8, 4, 6, 11, 30, 23, 12, 0, 16, 42, 1, 20, 100, 16, 102, 2, 12, 52, 53, 0, 54, 4, 9, 6, 112

Offset: 1

Author

Eric Chen, Nov 13 2014

Keywords

• nonn
• base

Examples

			1/10 = 0.1249724972497... has period 4 in duodecimal, so a(10) = 4.
1/23 = 0.0631694842106316948421... has period 11 in duodecimal, so a(23) = 11.
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007732, A051626 (decimal versions).

Cf. A246489.

Programs

Mathematica

a246004[n_Integer] :=
Table[Length[RealDigits[1/i, 12][[1, -1]]], {i,
   n}]; a246004[120] (* Michael De Vlieger, Nov 13 2014, after Harvey P. Dale at A051626 *)