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Search: id:A093773
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| A093773 |
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a[n] is the smallest integer at which the value of "truncated Mertens-function" (=A088004) equals the n-th prime number. |
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+0
5
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| 6, 10, 15, 22, 38, 51, 62, 77, 91, 123, 134, 159, 203, 206, 214, 253, 302, 305, 330, 341, 365, 395, 454, 489, 526, 542, 545, 554, 566, 586, 723, 753, 781, 794, 866, 870, 914, 933, 966, 1059, 1138, 1141, 1198, 1202, 1214, 1219, 1293, 1351, 1383, 1387, 1403
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Truncated Mertens-function = summatory-Moebius when argument runs through nonprimes. See A088004(n)=A002321(n)+A000720(n).
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FORMULA
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a[n]=A093772[p(n)]=A093772[A000040(n)]. Solutions to Min{x;A002321(x)+A000720(x)=A000040(n)=p[n]}=a(n).
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MATHEMATICA
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mer[x_] :=mer[x]=mer[x-1]+MoebiusMu[x]; mer[0]=0; $RecursionLimit=1000; t=Table[mer[w]+PrimePi[w], {w, 1, 1000}] Table[Min[Flatten[Position[t, Prime[j]]]], {j, 1, 200}]
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CROSSREFS
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Cf. A008682, A088004, A002321, A059071, A093772, A000720.
Sequence in context: A022949 A049694 A157344 this_sequence A088708 A020159 A048017
Adjacent sequences: A093770 A093771 A093772 this_sequence A093774 A093775 A093776
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 28 2004
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