A082967 Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.

213, 1937, 3093, 3097, 4529, 6401, 7165, 9753, 9933, 10117, 10541, 10577, 11301, 13385, 15005, 18641, 18829, 18965, 25089, 34413, 36285, 37833, 37909, 38157, 38405, 38409, 38413, 39529, 40461, 42981, 44457, 46577, 48741, 51365, 55477

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), May 27 2003

Keywords

• nonn

Comments

The terms up to 18965 were first given by Ignacio Larrosa Cañestro in a thread entitled "Seven consecutive numbers" in the newsgroup sci.math on Apr 29 2003. - Hugo Pfoertner, Aug 26 2006

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• Ignacio Larrosa Cañestro, Seven consecutive numbers. Posting in newsgroup sci.math, Apr 29 2003.

Crossrefs

Cf. A070268, A063838, A008683.

Programs

Mathematica

Position[Partition[MoebiusMu[Range[60000]],7,1],?(Total[#] == 6&),1,Heads->False]//Flatten (* _Harvey P. Dale, Jan 23 2019 *)

PARI

isok(n) = moebius(n) + moebius(n+1) + moebius(n+2) + moebius(n+3) + moebius(n+4) + moebius(n+5) + moebius(n+6) == 6 \\ Michel Marcus, Aug 06 2013

Extensions

More terms from Rick L. Shepherd, May 28 2003