A118684 Numbers k for which the Mertens function M(k) (A002321) is 1.

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

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