A159195 Let S_0 = [1]; for n>0 let S_n be obtained from S_{n-1} by applying the morphism t -> |t-1|,t,t+1; sequence gives limiting value of S_{2n+1} as n -> oo.

0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 2, 3, 2, 3, 4, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 2, 3, 2, 3, 4, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2

Offset

0,3

Links

Table of n, a(n) for n=0..104.

Example

S_0 = [1]
S_1 = [0,1,2]
S_2 = [1,0,1,0,1,2,1,2,3]
S_3 = [0,1,2,1,0,1,0,1,2,1,0,1,0,1,2,1,2,3,0,1,2,1,2,3,2,3,4]
etc.

Mathematica

Nest[ Flatten[ # /. a_Integer -> {Abs[a - 1], a, a + 1}] &, {1}, 5]

Crossrefs

Sequence in context: A179759 A257260 A334208 * A265859 A271420 A099313

Adjacent sequences: A159192 A159193 A159194 * A159196 A159197 A159198

Keyword

nonn

Author

Robert G. Wilson v, Apr 05 2009

Extensions

Edited by N. J. A. Sloane, Apr 07 2009

Status

approved