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

1,2

Links

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

Example

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

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 *)

Crossrefs

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

Sequence in context: A186978 A228532 A019956 * A114760 A261508 A344182

Adjacent sequences: A212717 A212718 A212719 * A212721 A212722 A212723

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 01 2012

Status

approved