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A323756 a(1) = 1; for n >= 2, if a(n-1) has not yet been assigned, then a(n-1) = 1 and a(2*n-1) = 2, otherwise a(2*n) = 3. 0
1, 1, 1, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 2, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 1, 2, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 2, 1, 1, 3, 2, 1, 1, 3, 1, 3, 2, 1, 2, 1, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 2, 1, 1, 3, 2, 1, 1, 3, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A self-generating sequence.

By calculation it looks as though lim_{m->oo} (1/m)*Sum_{n=1..m} a(n) = sqrt(3). 3's are at positions 4, 10, 12, 16, 22, 26, 28, 34, 36, 40, 46, 48, 54, 58, 60, 64, 70, 74, 76, 82, 84, 88, 94, 98, 100, ..., which is 2*A059009(n).

LINKS

Table of n, a(n) for n=1..100.

J.-P. Allouche, M. Mend├Ęs France, Automata and automatic sequences, Lecture 1.

EXAMPLE

a(1) = 1;

for n = 2, a(1) has been assigned: a(1) = 1, thus a(4) = 3;

for n = 3, a(2) is unassigned, thus a(2) = 1 and a(5) = 2;

for n = 4, a(3) is unassigned, thus a(3) = 1 and a(7) = 2; etc.

CROSSREFS

Cf. A059009.

Sequence in context: A181715 A077089 A156352 * A175191 A324534 A248505

Adjacent sequences:  A323753 A323754 A323755 * A323757 A323758 A323759

KEYWORD

nonn

AUTHOR

Ctibor O. Zizka, Jan 26 2019

STATUS

approved

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Last modified June 17 14:09 EDT 2019. Contains 324185 sequences. (Running on oeis4.)