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A284395 Positions of 1 in A284394. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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.

LINKS

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

EXAMPLE

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

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 *)

CROSSREFS

Cf. A003849, A032766, A284394, A284396.

Sequence in context: A103086 A192155 A131362 * A217192 A224865 A192159

Adjacent sequences:  A284392 A284393 A284394 * A284396 A284397 A284398

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 02 2017

STATUS

approved

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Last modified June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)