A284395 Positions of 1 in A284394.

2, 8, 17, 23, 32, 41, 47, 56, 62, 71, 80, 86, 95, 104, 110, 119, 125, 134, 143, 149, 158, 164, 173, 182, 188, 197, 206, 212, 221, 227, 236, 245, 251, 260, 269, 275, 284, 290, 299, 308, 314, 323, 329, 338, 347, 353, 362, 371, 377, 386, 392, 401, 410, 416, 425

Offset: 1

Author

Clark Kimberling, May 02 2017

Keywords

• nonn
• easy

Comments

The sequences p = A032766, q = A285395, r = A284396 of positions of 0,1,2, respectively, partition the positive integers. Let t,u,v be the slopes of p, q, r, respectively. Then t = 3/2, u = (9+3*sqrt(5))/2, v = (3+3*sqrt(5))/2, and 1/t + 1/u + 1/v = 1.

Examples

			As a word, A284394 = 01002001002002001..., in which the positions of 1 are 2,8,17,...
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A003849, A032766, A284394, A284396.

Programs

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 13]  (* A003849 *)
w = StringJoin[Map[ToString, s]]; w1 = StringReplace[w, {"101" -> "2"}]
st = ToCharacterCode[w1] - 48 (* A284394 *)
Flatten[Position[st, 0]]  (* A032766 *)
Flatten[Position[st, 1]]  (* A284395 *)
Flatten[Position[st, 2]]  (* A284396 *)