A188070 Positions of 1 in A188068; complement of A188069.

2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 16, 17, 18, 20, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 46, 47, 48, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 72, 73, 74, 76, 77, 78, 80, 81, 82, 84, 85, 87, 88, 89, 91, 92, 93, 95, 96, 97, 99, 100, 102, 103, 104, 106, 107, 108, 110, 111, 113, 114, 115, 117, 118, 119, 121, 122, 123, 125

Offset

1,1

Comments

Cf. A188014, A188068.

Also positions of 3 in A007538. - Reinhard Zumkeller, Feb 14 2012

From Peter G. Anderson, Aug 24 2012: (Start)

a(n) = ceiling(n*x) where x = (1+sqrt(3))/2;

continued fraction of x is [1,2,1,2,1,2,...]. (End)

Conjectured partial sums of A245222. - Sean A. Irvine, Jun 26 2022

Links

Table of n, a(n) for n=1..91.

Mathematica

(See A188068.)

Prog

(Haskell)
a188070 n = a188070_list !! (n-1)
a188070_list = filter ((== 3) . a007538) [1..]
-- Reinhard Zumkeller, Feb 14 2012
(J)  >. (2 %~ 1 + %:3) * i.100  NB. Peter G. Anderson, Aug 24 2012

Crossrefs

Cf. A188014, A188068, A188069.

A215781 is ceiling(n*(sqrt(3)-1)).

Sequence in context: A137217 A367625 A023705 * A305847 A248565 A065896

Adjacent sequences: A188067 A188068 A188069 * A188071 A188072 A188073

Keyword

nonn

Author

Clark Kimberling, Mar 20 2011

Status

approved