Search: id:A051626
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%I A051626
%S A051626 0,0,1,0,0,1,6,0,1,0,2,1,6,6,1,0,16,1,18,0,6,2,22,1,0,6,3,6,28,1,15,0,
%T A051626 2,16,6,1,3,18,6,0,5,6,21,2,1,22,46,1,42,0,16,6,13,3,2,6,18,28,58,1,60,
%U A051626 15,6,0,6,2,33,16,22,6,35,1,8,3,1,18,6,6,13,0,9,5,41,6,16,21,28,2,44,1
%N A051626 Period of decimal representation of 1/n, or 0 if 1/n terminates.
%H A051626 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RepeatingDecimal.html">Repeating Decimal</a>
%H A051626 <a href="Sindx_1.html#1overn">Index entries for sequences related to 
               decimal expansion of 1/n</a>
%F A051626 a(n)=A132726(n,1); a(n)=a(A132740(n)); a(A132741(n))=a(A003592(n))=0. 
               - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 27 2007
%p A051626 isCycl := proc(n) local ifa,i ; if n <= 2 then RETURN(false) ; fi ; ifa 
               := ifactors(n)[2] ; for i from 1 to nops(ifa) do if op(1,op(i,ifa)) 
               <> 2 and op(1,op(i,ifa)) <> 5 then RETURN(true) ; fi ; od ; RETURN(false) 
               ; end: A051626 := proc(n) local ifa,sh,lpow,mpow,r ; if not isCycl(n) 
               then RETURN(0) ; else lpow:=1 ; while true do for mpow from lpow-1 
               to 0 by -1 do if (10^lpow-10^mpow) mod n =0 then RETURN(lpow-mpow) 
               ; fi ; od ; lpow := lpow+1 ; od ; fi ; end: for n from 1 to 600 do 
               printf("%d %d ",n,A051626(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Oct 19 2006
%t A051626 r[x_]:=RealDigits[1/x]; w[x_]:=First[r[x]]; f[x_]:=First[w[x]]; l[x_]:=Last[w[x]]; 
               z[x_]:=Last[r[x]];
%t A051626 d[x_] := Which[IntegerQ[l[x]], 0, IntegerQ[f[x]]==False, Length[f[x]], 
               True, Length[l[x]]]; Table[d[i], {i,1,90}] (from Hans Havermann, 
               Oct 19 2006)
%t A051626 fd[n_] := Block[{q},q = Last[First[RealDigits[1/n]]];If[IntegerQ[q], 
               q = {}];Length[q]];Table[fd[n], {n, 100}] (*Chandler*)
%Y A051626 Essentially same as A007732. Cf. A048595, A006883, A036275, A114205, 
               A114206.
%Y A051626 Sequence in context: A060297 A137378 A084680 this_sequence A137785 A134899 
               A076413
%Y A051626 Adjacent sequences: A051623 A051624 A051625 this_sequence A051627 A051628 
               A051629
%K A051626 nonn,base,easy,nice
%O A051626 1,7
%A A051626 J. Lowell (jhbubby(AT)avana.net)
%E A051626 More terms from James A. Sellers (sellersj(AT)math.psu.edu)

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