cp's OEIS Frontend

A235589 The periodic part of the decimal expansion of m/(m+1), for those m/(m+1) that have pure periods.

%I A235589 #32 Aug 19 2015 05:51:44
%S A235589 6,857142,8,90,923076,9411764705882352,947368421052631578,952380,
%T A235589 9565217391304347826086,962,9655172413793103448275862068,
%U A235589 967741935483870,96,972,974358,97560,976744186046511627906,9787234042553191489361702127659574468085106382,979591836734693877551020408163265306122448
%N A235589 The periodic part of the decimal expansion of m/(m+1), for those m/(m+1) that have pure periods.
%C A235589 A companion sequence stemming from the some of the elements excluded by A156703.  The sequence is highly volatile and infinite...as with A156703 the subset elements are encountered in numerical order.  a(n) will start with the digit 9 for n>4 I believe.  Entries can grow quite large very quickly.  Each entry will be encountered once, and they will end in an even digit.
%C A235589 The number of digits of a(n) is given by A002329. - _Michel Marcus_, Aug 19 2015
%F A235589 a(n) = the periodic part of the decimal expansion of (A045572(n+1)-1) / A045572(n+1). - _Doug Bell_, Aug 17 2015
%e A235589 1/2=0.5 non-repeating, so exclude from sequence.
%e A235589 2/3=0.6 repeating, so a(1)=6.
%e A235589 5/6=0.833 (repeating) but has "8" prefix ahead of repeating "3" so exclude from sequence (decimal expansion not purely periodic)
%e A235589 6/7=0.857142 repeating so a(2)=857142.
%t A235589 FromDigits@ Flatten@ First@ RealDigits[(# - 1)/#] & /@ Select[Range@ 120, CoprimeQ[#, 10] &] //Rest (* _Michael De Vlieger_, Aug 18 2015 *)
%Y A235589 Subsequence of A259299.
%Y A235589 Cf. A156703, A036275, A060283, A114205.
%K A235589 nonn,base
%O A235589 1,1
%A A235589 _Bill McEachen_, Jan 12 2014
%E A235589 Missing terms added by _Ralf Stephan_, Jan 19 2014
%E A235589 Incorrect terms 916, 94 removed and two more terms added by _Michael De Vlieger_, Aug 18 2015