A317954 Fixed point of the morphism 1 -> 12, 2 -> 13, 3 -> 14, 4 -> 1, starting from a(1) = 1.

1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 4, 1, 2

Offset: 1

Author

N. J. A. Sloane and Doron Zeilberger, Aug 21 2018

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A003849, A092782, A100619, A317955.

Programs

Maple

A:= [1]:
for n from 1 while nops(A) < 1000 do
  A:= subs([1=(1,2),2=(1,3),3=(1,4),4=1],A)
od:
A; # Robert Israel, Aug 21 2018

Mathematica

Nest[Flatten[#/.{0 -> {0, 1}, 1 -> {1, 2}, 2 -> {2, 0}}] &, {0}, 7] (* G. C. Greubel, Jan 02 2019 *)