A265352 Permutation of nonnegative integers: a(n) = A263273(A263272(n)).

0, 1, 2, 3, 4, 7, 6, 19, 8, 9, 10, 5, 12, 13, 22, 21, 64, 23, 18, 55, 20, 57, 58, 25, 24, 73, 26, 27, 28, 11, 30, 31, 16, 15, 46, 17, 36, 37, 14, 39, 40, 67, 66, 199, 68, 63, 190, 65, 192, 193, 70, 69, 208, 71, 54, 163, 56, 165, 166, 61, 60, 181, 62, 171, 172, 59, 174, 175, 76, 75, 226, 77, 72, 217, 74, 219, 220, 79, 78, 235, 80, 81

Offset: 0

Author

Antti Karttunen, Dec 07 2015

Keywords

• nonn
• base

Comments

Composition of A263273 with the permutation obtained from its even bisection.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..9841
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A265351.

Cf. A263272, A263273, A264974, A265368.

Cf. also A265354, A265355, A265356

Programs

Python

from sympy import factorint
from sympy.ntheory.factor_ import digits
from operator import mul
def a030102(n): return 0 if n==0 else int(''.join(map(str, digits(n, 3)[1:][::-1])), 3)
def a038502(n):
    f=factorint(n)
    return 1 if n==1 else reduce(mul, [1 if i==3 else i**f[i] for i in f])
def a038500(n): return n/a038502(n)
def a263273(n): return 0 if n==0 else a030102(a038502(n))*a038500(n)
def a(n): return a263273(a263273(2*n)/2) # Indranil Ghosh, Jun 08 2017

Scheme

(define (A265352 n) (A263273 (A263272 n)))

Formula

a(n) = A263273(A263272(n)).

As a composition of other related permutations:

a(n) = A265368(A264974(n)).

Other identities. For all n >= 0:

a(3*n) = 3*a(n).