A100306 Numbers for which the values of the Moebius function (A008683) and the Mertens function (A002321) agree.

1, 3, 40, 41, 59, 66, 94, 102, 146, 150, 151, 160, 161, 164, 165, 167, 215, 232, 233, 236, 237, 239, 255, 330, 332, 333, 334, 354, 356, 357, 359, 363, 364, 365, 367, 394, 402, 404, 405, 406, 408, 409, 414, 415, 420, 421, 423, 424, 425, 426, 428, 429, 538, 542

Offset

1,2

Links

Donovan Johnson, Table of n, a(n) for n = 1..10000

PrimeFan, Esoteric Integer Sequences

PrimeFan, Esoteric Integer Sequences [Cached copy]

Maple

with(numtheory): p:=proc(n) if mobius(n)=sum(mobius(k), k=1..n) then n else fi end: seq(p(n), n=1..700); # Emeric Deutsch, Feb 14 2005

Mathematica

Select[Range[500], Plus @@ MoebiusMu[Range[#]] == MoebiusMu[#] &] (* Carl Najafi, Aug 17 2011 *)

Prog

(PARI) s=0; for(n=1, 1e4, s+=t=moebius(n); if(t==s, print1(n", "))) \\ Charles R Greathouse IV, Jan 28 2014

Crossrefs

Cf. A100765, A100766, A100767.

Sequence in context: A196159 A084186 A037104 * A101014 A262036 A041347

Adjacent sequences: A100303 A100304 A100305 * A100307 A100308 A100309

Keyword

nonn

Author

N. J. A. Sloane, Dec 30 2004

Extensions

More terms from Emeric Deutsch, Feb 14 2005

Status

approved