A205083 Parity of A070885.

1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1

Offset

1

Comments

A simple unpredictable binary sequence.

If you change a(1) to "2", then the concatenation of the first n terms yields the first length-n term of A024629 with positive even index. - Glen Whitney, Sep 17 2017

After the first term, this is also the parity of A061419. - Matthew House, Apr 21 2024

References

Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, 2002, p. 122.

Links

Ben Branman, Table of n, a(n) for n = 1..20000

Eric Weisstein's World of Mathematics, Wolfram Sequences.

Mathematica

a[1] = 1; a[n_] := a[n] = If[EvenQ[a[n - 1]], 3 a[n - 1]/2, (3/2) (a[n - 1] + 1)]; Mod[Table[a[n], {n, 1, 100}], 2]

Prog

(PARI) A205083={my(maxx=50); q=ctr=1; print1(q%2, ", ");
while(ctr<maxx, q=3*ceil(q/2); ctr+=1; print1(q%2, ", ") ); } \\ Bill McEachen, Mar 12 2015

Crossrefs

Cf. A070885, A024629.

Sequence in context: A089451 A145099 A374045 * A070886 A262808 A217206

Adjacent sequences: A205080 A205081 A205082 * A205084 A205085 A205086

Keyword

nonn,easy

Author

Ben Branman, Jan 22 2012

Status

approved