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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
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
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
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Apr 05 2009
EXTENSIONS
Edited by N. J. A. Sloane, Apr 07 2009
STATUS
approved