A064148 -id:A064148 - cp's OEIS frontend

A093317 Consider numbers n such that mu(n) = mu(n+1), A064148; sequence gives values of mu(A064148(n)).

-1, 0, 1, 1, 0, 0, -1, -1, 1, 1, 1, -1, -1, 0, 0, 0, 1, 0, -1, -1, 0, -1, 0, 1, 1, 1, 1, 0, 0, -1, -1, -1, -1, 0, 1, 0, 1, 0, 0, -1, 1, 0, -1, -1, 1, 1, 1, 0, 0, 1, 0, 0, -1, 0, 1, -1, 0, -1, 1, 1, 1, 0, 1, 1, 1, 1, 1, -1, 0, -1, -1, -1, 0, 0, 0

Offset: 1

Leroy Quet, Apr 26 2004

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A008683 (for mu), A064148.

Select[Partition[MoebiusMu[Range[300]],2,1],#[[1]]==#[[2]]&][[All,1]] (* Harvey P. Dale, Sep 13 2019 *)

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 24 2004

A074820 Numbers k such that mu(k) = mu(k+2), where mu is the Möbius function (A008683).

Original entry on oeis.org

3, 5, 11, 16, 17, 18, 25, 29, 33, 41, 48, 50, 52, 54, 55, 59, 71, 85, 88, 90, 91, 93, 96, 98, 101, 103, 105, 107, 124, 126, 137, 141, 143, 148, 149, 150, 159, 160, 162, 163, 165, 169, 179, 183, 185, 191, 193, 195, 196, 197, 198, 201, 203, 213, 215, 217, 219, 227

Offset: 1

Benoit Cloitre, Sep 08 2002

nonn

a(n) seems to be asymptotic to c*n with c near 3.73. Probably c = 1/(3A/2 + 1 - 12/Pi^2) ~ 3.729994018, where A ~ 0.322634099 is the product over all primes p of 1 - 2/p^2.

			3 is a term since mu(3) = mu(5) = -1.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A008683, A064148.

Select[Range[230], MoebiusMu[ # ]==MoebiusMu[ #+2]&]
Flatten[Position[Partition[MoebiusMu[Range[250]],3,1],?(#[[1]]==#[[3]]&),{1},Heads->False]] (* _Harvey P. Dale, Mar 08 2015 *)

Edited by Dean Hickerson, Sep 10 2002

cp's OEIS Frontend

A093317 Consider numbers n such that mu(n) = mu(n+1), A064148; sequence gives values of mu(A064148(n)).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Extensions