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A105081 a(n) = 1 + A003188(n - 1), n>=1. 4
1, 2, 4, 3, 7, 8, 6, 5, 13, 14, 16, 15, 11, 12, 10, 9, 25, 26, 28, 27, 31, 32, 30, 29, 21, 22, 24, 23, 19, 20, 18, 17, 49, 50, 52, 51, 55, 56, 54, 53, 61, 62, 64, 63, 59, 60, 58, 57, 41, 42, 44, 43, 47, 48, 46, 45, 37, 38, 40, 39, 35, 36, 34, 33, 97, 98, 100, 99, 103, 104, 102 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A permutation of the natural numbers.

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..8192

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(1) = 1, a(2^k + j) = 2^k + a(2^k - j + 1) for 1<=j<= 2^k.

A000069(a(n)) = A065621(n).

As a composition of related permutations:

a(n) = A268718(A003188(n)). - Antti Karttunen, Feb 14 2016

MATHEMATICA

Nest[Join[#, Length[#]+Reverse[#]]&, {1}, 7] (* Vladimir Joseph Stephan Orlovsky, Feb 01 2012 *)

PROG

(Scheme) (define (A105081 n) (+ 1 (A003188 (- n 1)))) ;; Antti Karttunen, Feb 14 2016

CROSSREFS

Inverse permutation: A066194.

Cf. A000069, A003188, A065621, A268718.

Sequence in context: A235201 A292958 A235493 * A235485 A026167 A127002

Adjacent sequences:  A105078 A105079 A105080 * A105082 A105083 A105084

KEYWORD

nonn,easy,look

AUTHOR

Philippe Deléham, Apr 28 2005

STATUS

approved

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Last modified April 17 11:26 EDT 2021. Contains 343064 sequences. (Running on oeis4.)