0,1

Least significant bit of n, lsb(n).

Also decimal expansion of 1/99.

a(n) = ABS(A134451(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 27 2007

Paul Barry, A Catalan Transform and Related Transformations on Integer Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.5.

A. K. Whitford, Binet's Formula Generalized, Fib. Quart., 15 (1977), pp. 21, 24, 29.

David Wasserman, Table of n, a(n) for n = 0..1000

Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.

Eric Weisstein's World of Mathematics, Dirichlet Series Generating Function

Eric Weisstein's World of Mathematics, Kronecker Symbol

Index entries for "core" sequences

a(n)={1 - (-1)^n}/2. a(n) = n mod 2.

Multiplicative with a(p^e) = p%2. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

G.f.: x/(1-x^2). E.g.f.: sinh(x). a(n)=n mod 2. a(n)=1/2 - (-1)^n/2. - Paul Barry (pbarry(AT)wit.ie), Mar 11 2003

a(n)=(A000051(n)-A014551(n))/2. - Mario Catalani (mario.catalani(AT)unito.it), Aug 30 2003

a(n) = ceiling((-2)^(-n-1)). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 19 2005

a(n)= [sin(n*Pi/2)]^2 = [cos(n*Pi/2 +/- Pi/2)]^2 with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Sep 20 2006

A000035 := n->n mod 2;

[ seq(i mod 2, i=0..100) ];

Nest[Flatten[ # /. {0 -> {0, 1}, 1 -> {0, 1}}] &, {0}, 7] (from Robert G. Wilson v Mar 05 2005)

Nest[ Flatten[ # /. {0 -> {0, 1, 0}}] &, {0}, 5] (* Robert G. Wilson v Sep 01 2005 *)

(PARI) a(n)=n%2

Ones complement of A059841. Cf. A053644 for most significant bit.

This is Guy Steele's sequence GS(1,2) (see A135416).

Adjacent sequences: A000032 A000033 A000034 this_sequence A000036 A000037 A000038

Sequence in context: A112416 A061265 A125122 this_sequence A131734 A134452 A071029

core,easy,nonn,nice,mult

njas