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Search: id:A070971
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| A070971 |
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a(n) is the smallest positive integer m for which A070194(m) (i.e. the maximal gap in {k|gcd(k,m)=1,1<=k<=m-1}) is n. |
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4
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| 3, 4, 15, 6, 105, 30, 1155, 770, 36465, 210, 15015, 6006, 255255, 2310, 8580495, 102102, 4849845, 72930
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OFFSET
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1,1
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COMMENT
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a[n] = least x such that maximal gap in RRS of x equals n: a[n]=Max{x: A070194[x]=n}
a(13) has not yet been found and is greater than 141600. Other known values with a(n)<=141600 are: a(14)=2310, a(16)=102102, a(18)=72930, and a(22)=30030.
For n>2, same as A128759, which gives the least k such that the Jacobsthal function A048669(k) equals n. See A128759 for more comments. - T. D. Noe (noe(AT)sspectra.com), Mar 28 2007
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EXAMPLE
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A070194 begins with 1,2,1,4,... with offset 3, so a(4)=6.
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MATHEMATICA
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gw[x_] := Table[GCD[w, x], {w, 1, x}] rrs[x_] := Flatten[Position[gw[x], 1]] dr[x_] := Delete[RotateLeft[rrs[x]]-rrs[x], -1] t=Table[0, {25}]; Do[s=Max[dr[n]]; If[s<26&&t[[s]]==0, t[[s]]=n], {n, 3, 10000}]; t - Labos E. (labos(AT)ana.sote.hu), Oct 09 2002
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CROSSREFS
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Cf. A000010, A070194, A071194, A061498.
Sequence in context: A130409 A071167 A076365 this_sequence A130113 A004735 A066830
Adjacent sequences: A070968 A070969 A070970 this_sequence A070972 A070973 A070974
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), May 17 2002
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Mar 28 2007
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