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A136619
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Fold-switch-fold sequence defined by McFarlane and Withers in Math Monthly for m=3: A(n) = If[Mod[A(n - 1), 2] == 0, A(n - 1)/2, (m - A(n - 1))2].
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1, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| The sequence is periodic.
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REFERENCES
| Cayanne McFarlane and Wm. Douglas Withers; Dynamical Systems and Irrational Angle Construction by Paper-Folding, American Mathematical Monthly, Volume 115, Number 4, April 2008, page 356; http://www.maa.org/pubs/monthly_apr08_toc.html.
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FORMULA
| m=3,A(0)=1;a(1)=(m-1)/2; A(n) = If[Mod[A(n - 1), 2] == 0, A(n - 1)/2, (m - A(n - 1))2]
a(n)=(1/9)*{13*(n mod 3)-2*[(n+1) mod 3]+10*[(n+2) mod 3]}-[C(2*n,n) mod 2] - Paolo P. Lava (paoloplava(AT)gmail.com), May 13 2008
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MATHEMATICA
| Clear[A, m, n] m = 3; A[0] = 1; A[1] = (m - 1)/2; A[n_] := A[n] = If[Mod[A[n - 1], 2] == 0, A[n - 1]/2, (m - A[n - 1])2]; Table[A[n], {n, 0, 50}]
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CROSSREFS
| Sequence in context: A105699 A023526 A082901 * A132708 A153727 A016506
Adjacent sequences: A136616 A136617 A136618 * A136620 A136621 A136622
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 31 2008
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