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A051402 Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321 7
1, 5, 13, 31, 110, 114, 197, 199, 443, 659, 661, 665, 1105, 1106, 1109, 1637, 2769, 2770, 2778, 2791, 2794, 2795, 2797, 2802, 2803, 6986, 6987, 7013, 7021, 8503, 8506, 8507, 8509, 8510, 8511, 9749, 9822, 9823, 9830, 9831, 9833, 9857, 9861, 19043 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

EXAMPLE

M(31) = -4, smallest one equal to +/-4.

MAPLE

with(numtheory): k := 0: s := 0: for n from 1 to 20000 do s := s+mobius(n): if abs(s) > k then k := abs(s): print(n); fi; od:

MATHEMATICA

a = s = 0; Do[s = s + MoebiusMu[n]; If[ Abs[s] > a, a = Abs[s]; Print[n]], {n, 1, 20000}]

CROSSREFS

Cf. A002321, A051400, A051401.

Essentially same as A060434 except for initial terms.

Sequence in context: A007708 A146609 A121129 * A147022 A147014 A146376

Adjacent sequences:  A051399 A051400 A051401 * A051403 A051404 A051405

KEYWORD

nonn,nice

AUTHOR

Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)

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Last modified February 17 06:27 EST 2012. Contains 205998 sequences.