A093772 a(n) is the smallest integer at which the value of the "truncated Mertens function" (= A088004) equals n.

1, 6, 10, 14, 15, 21, 22, 26, 34, 35, 38, 39, 51, 55, 57, 58, 62, 65, 77, 85, 86, 87, 91, 93, 94, 95, 119, 122, 123, 129, 134, 142, 143, 145, 146, 158, 159, 161, 185, 202, 203, 205, 206, 209, 210, 213, 214, 215, 217, 218, 219, 221, 253, 254, 265, 278, 299, 301, 302

Offset

1,2

Comments

Truncated Mertens function = summatory Moebius when argument runs through nonprimes.

Links

Table of n, a(n) for n=1..59.

Mathematica

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, j]]], {j, 1, 200}]

Crossrefs

Cf. A002321, A008682, A059071, A088004, A093773.

Sequence in context: A162730 A180074 A338905 * A046400 A100660 A088709

Adjacent sequences: A093769 A093770 A093771 * A093773 A093774 A093775

Keyword

nonn

Author

Labos Elemer, Apr 28 2004

Status

approved