A189573 Positions of 0 in A189572; complement of A080652 (conjectured).

1, 3, 4, 6, 8, 10, 11, 13, 15, 16, 18, 20, 21, 23, 25, 27, 28, 30, 32, 33, 35, 37, 39, 40, 42, 44, 45, 47, 49, 51, 52, 54, 56, 57, 59, 61, 62, 64, 66, 68, 69, 71, 73, 74, 76, 78, 80, 81, 83, 85, 86, 88, 90, 91, 93, 95, 97, 98, 100, 102, 103, 105, 107, 109, 110, 112, 114, 115, 117

Offset

1,2

Comments

See A189572.

The conjecture is proved in A189572. - Michel Dekking, Nov 03 2018

Links

Table of n, a(n) for n=1..69.

Wieb Bosma, Michel Dekking, Wolfgang Steiner, A remarkable sequence related to Pi and sqrt(2), Integers, Electronic Journal of Combinatorial Number Theory 18A (2018), #A4.

Formula

a(n) = floor(alpha*n+beta), with alpha = 1+sqrt(2)/2, and beta = 1/2-sqrt(2)/2 (from Lemma 1 in Bosma et al., exchanging 0 and 1 in (a(n))). - Michel Dekking, Nov 03 2018

Mathematica

(See A189572.)

Crossrefs

Cf. A189572, A080652.

Sequence in context: A285344 A342740 A187343 * A029900 A003257 A184006

Adjacent sequences: A189570 A189571 A189572 * A189574 A189575 A189576

Keyword

nonn

Author

Clark Kimberling, Apr 23 2011

Status

approved