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A118684
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Numbers k for which the Mertens function M(k) (A002321) is 1.
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7
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1, 94, 97, 98, 99, 100, 146, 147, 148, 161, 162, 215, 216, 230, 237, 330, 334, 337, 338, 349, 350, 351, 352, 365, 394, 397, 399, 400, 415, 416, 418, 538, 539, 540, 542, 606, 794, 799, 800, 801, 806, 809, 810, 813, 815, 816, 822, 851, 852, 870, 874, 875
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OFFSET
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1,2
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LINKS
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Seiichi Manyama, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Mertens Function
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EXAMPLE
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M(94) = Sum_{n=1..94} mu(n) = 1.
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MATHEMATICA
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Select[Range[500], Plus @@ MoebiusMu[Range[#]] == 1 &] (* Carl Najafi, Aug 17 2011 *)
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PROG
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(PARI) isok(n) = sum(k=1, n, moebius(k)) == 1; \\ Michel Marcus, Nov 20 2017
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CROSSREFS
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Numbers k such that M(k) = b: A171395 (b=-12), A171394 (b=-11), A171393 (b=-10), A171392 (b=-9), A171391 (b=-8), A171383 (b=-7), A171374 (b=-6), A171236 (b=-5), A171235 (b=-4), A171098 (b=-3), A171097 (b=-2), A171096 (b=-1), A028442 (b=0), this sequence (b=1), A171403 (b=2), A171404 (b=3), A171406 (b=4), A171427 (b=5), A171428 (b=6), A171436 (b=7).
Cf. A002321, A051400.
Sequence in context: A298634 A033414 A218053 * A020444 A045301 A146336
Adjacent sequences: A118681 A118682 A118683 * A118685 A118686 A118687
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KEYWORD
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nonn
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AUTHOR
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Yoav Kallus (colonelmustard(AT)gmail.com), May 20 2006
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STATUS
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approved
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