A099990 a(n) = Moebius(2n+1).

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

Offset

0,1

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

J. W. Coltman, The Specification of Imaging Properties by Response to a Sine Wave Input, J. Opt. Soc. Am., JOSA 44, 468 (1954).

R. L. Lucke, Deriving the Coltman Correction for Transforming the Bar Transfer Function to the Optical Transfer Function (or the Contrast Transfer Function to the Modulation Transfer Function), Appl. Opt. 37, 7248 (1998).

Mathematica

a[n_] := MoebiusMu[2*n + 1]; Array[a, 100, 0] (* Amiram Eldar, Jul 23 2023 *)

Prog

(PARI) a(n) = moebius(2*n+1); \\ Michel Marcus, Aug 12 2021

Crossrefs

Bisection of A008683.

Cf. A099991.

Sequence in context: A106465 A071027 A337264 * A089939 A330550 A059095

Adjacent sequences: A099987 A099988 A099989 * A099991 A099992 A099993

Keyword

sign,easy

Author

N. J. A. Sloane, Nov 20 2004

Status

approved