A234027 Self-inverse permutation of nonnegative integers, A054429-conjugate of blue code: a(n) = A054429(A193231(A054429(n))).

0, 1, 3, 2, 4, 5, 7, 6, 15, 14, 12, 13, 10, 11, 9, 8, 22, 23, 21, 20, 19, 18, 16, 17, 25, 24, 26, 27, 28, 29, 31, 30, 53, 52, 54, 55, 48, 49, 51, 50, 58, 59, 57, 56, 63, 62, 60, 61, 36, 37, 39, 38, 33, 32, 34, 35, 43, 42, 40, 41, 46, 47, 45, 44, 64, 65, 67, 66

Offset: 0

Author

Antti Karttunen, Dec 28 2013

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..8191
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A054429, A059894, A193231, A234024-A234026.

Programs

Python

def a065621(n): return n^(2*(n - (n&-n)))
def a048724(n): return n^(2*n)
def a054429(n): return 1 if n==1 else 2*a054429(int(n/2)) + 1 - n%2
def a193231(n):
    if n<2: return n
    if n%2==0: return a048724(a193231(n/2))
    else: return a065621(1 + a193231((n - 1)/2))
def a(n): return n if n<2 else a054429(a193231(a054429(n))) # Indranil Ghosh, Jun 05 2017

Scheme

(define (A234027 n) (A054429 (A193231 (A054429 n))))

Formula

a(n) = A054429(A193231(A054429(n))).

a(n) = A234025(A054429(n)).

a(n) = A054429(A234026(n)).

a(n) = A059894(A234024(A059894(n))).