

A065168


Permutation t>t1 of Z, folded to N.


3



3, 1, 5, 2, 7, 4, 9, 6, 11, 8, 13, 10, 15, 12, 17, 14, 19, 16, 21, 18, 23, 20, 25, 22, 27, 24, 29, 26, 31, 28, 33, 30, 35, 32, 37, 34, 39, 36, 41, 38, 43, 40, 45, 42, 47, 44, 49, 46, 51, 48, 53, 50, 55, 52, 57, 54, 59, 56, 61, 58, 63, 60, 65, 62, 67, 64, 69, 66, 71, 68, 73, 70
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OFFSET

1,1


COMMENTS

This permutation consists of just one cycle, which is infinite.


LINKS

Table of n, a(n) for n=1..72.
Index entries for sequences that are permutations of the natural numbers


FORMULA

Let f: Z > N be given by f(z) = 2z if z>0 else 2z+1, with inverse g(z) = z/2 if z even else (1z)/2. Then a(n) = f(g(n)1).
G.f.: x*(32*x+x^4+x^2x^3) / ((x+1)*(x1)^2).  Alois P. Heinz, Mar 07 2012


MAPLE

a:= n> n2*(1)^n +`if`(n=2, 1, 0):
seq(a(n), n=1..80); # Alois P. Heinz, Mar 07 2012


MATHEMATICA

Join[{3, 1}, LinearRecurrence[{1, 1, 1}, {5, 2, 7}, 100]] (* JeanFrançois Alcover, Feb 28 2016 *)


CROSSREFS

Inverse permutation to A065164.
Obtained by composing permutations A065190 and A014681.
Sequence in context: A201901 A174239 A066249 * A318581 A065277 A249139
Adjacent sequences: A065165 A065166 A065167 * A065169 A065170 A065171


KEYWORD

nonn,easy


AUTHOR

Antti Karttunen, Oct 19 2001


STATUS

approved



