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Search: id:A159195
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| A159195 |
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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. |
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1
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| 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
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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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.
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MATHEMATICA
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Nest[ Flatten[ # /. a_Integer -> {Abs[a - 1], a, a + 1}] &, {1}, 5]
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CROSSREFS
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Sequence in context: A092111 A050317 A141095 this_sequence A099313 A097468 A098381
Adjacent sequences: A159192 A159193 A159194 this_sequence A159196 A159197 A159198
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 05 2009
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EXTENSIONS
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Edited by N. J. A. Sloane, Apr 07 2009
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