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A118684 Numbers k for which the Mertens function M(k) (A002321) is 1. 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Mertens Function

EXAMPLE

M(94) = Sum_{n=1..94} mu(n) = 1.

MATHEMATICA

Select[Range[500], Plus @@ MoebiusMu[Range[#]] == 1 &] (* Carl Najafi, Aug 17 2011 *)

PROG

(PARI) isok(n) = sum(k=1, n, moebius(k)) == 1; \\ Michel Marcus, Nov 20 2017

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Yoav Kallus (colonelmustard(AT)gmail.com), May 20 2006

STATUS

approved

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Last modified November 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)