A212720 The periodic part of the decimal expansion of n/(n+1). Any initial 0's are to be placed at end of cycle.

0, 6, 0, 0, 3, 857142, 0, 8, 0, 90, 6, 923076, 285714, 3, 0, 9411764705882352, 4, 947368421052631578, 0, 952380, 54, 9565217391304347826086, 3, 0, 615384, 962, 428571, 9655172413793103448275862068, 6, 967741935483870, 0, 96, 7058823529411764, 714285, 2, 972

Offset: 1

Author

Jaroslav Krizek, Jun 01 2012

Keywords

• nonn
• base

Examples

			6/7 = 0.85714285714285714285714285714286... and digit-cycle is 857142, so a(6) = 857142.
		

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A036275 (periodic part of the decimal expansion of 1/n), A158911 (numbers n such that a(n)=0), A051037.

Programs

Mathematica

Table[FromDigits[FindTransientRepeat[RealDigits[n/(n+1),10,100][[1]],3][[2]]],{n,40}] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 07 2017 *)