A265352 -id:A265352 - cp's OEIS frontend

A265368 Permutation of nonnegative integers: a(n) = A263273(A263272(A264974(n))).

0, 1, 2, 3, 4, 7, 6, 19, 64, 9, 10, 55, 12, 13, 22, 21, 8, 23, 18, 5, 20, 57, 46, 199, 192, 73, 208, 27, 28, 163, 30, 37, 190, 165, 58, 193, 36, 31, 166, 39, 40, 67, 66, 25, 70, 63, 16, 61, 24, 17, 68, 69, 26, 71, 54, 11, 56, 15, 14, 65, 60, 181, 586, 171, 100, 505, 138, 127, 604, 597, 226, 631, 576, 145, 550, 219, 154, 613, 624, 235, 640, 81

Offset: 0

Antti Karttunen, Dec 07 2015

Composition of A263273 with the permutations obtained from its bisection (A263272) and quadrisection (A264974), in that order from left to right.

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

Inverse: A265367.

Cf. A263272, A263273, A264974, A264976, A265352.

(define (A265368 n) (A263273 (A263272 (A264974 n))))

a(n) = A263273(A263272(A264974(n))).
As a composition of other related permutations:
a(n) = A265352(A264974(n)).
a(n) = A263273(A264976(n)).
Other identities. For all n >= 0:
a(3*n) = 3*a(n).

A265902 Self-inverse permutation of nonnegative integers: a(n) = A263273(A263272(A263273(n))).

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Jan 02 2016

Antti Karttunen, Table of n, a(n) for n = 0..6561
Index entries for sequences that are permutations of the natural numbers

Cf. A000035, A263272, A263273, A265351, A265352.

Cf. also A265904, A266189.

f[n_] := Block[{g, h}, g[x_] := x/3^IntegerExponent[x, 3]; h[x_] := x/g@ x; If[n == 0, 0, FromDigits[Reverse@ IntegerDigits[#, 3], 3] &@ g[n] h[n]]]; t = Table[f[2 n]/2, {n, 0, 1000}]; Table[f[t[[f@ n + 1]]], {n, 0, 83}] (* Michael De Vlieger, Jan 04 2016, after Jean-François Alcover at A263273 *)

(define (A265902 n) (A263273 (A263272 (A263273 n))))

a(n) = A263273(A263272(A263273(n))).
As a composition of related permutations:
a(n) = A263273(A265351(n)).
a(n) = A265352(A263273(n)).
Other identities. For all n >= 0:
a(3*n) = 3*a(n).
A000035(a(n)) = A000035(n). [This permutation preserves the parity of n.]

cp's OEIS Frontend

A265368 Permutation of nonnegative integers: a(n) = A263273(A263272(A264974(n))).

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