A304533 Suspected permutation of nonnegative integers: a(n) = A052331(A304531(1+n)).

0, 1, 3, 2, 6, 4, 36, 32, 33, 41, 8, 9, 11, 10, 14, 12, 44, 40, 45, 5, 7, 15, 13, 47, 34, 35, 43, 42, 46, 38, 4134, 4096, 4097, 4099, 4098, 4102, 4100, 4132, 4128, 4129, 4145, 16, 17, 19, 18, 22, 20, 52, 48, 49, 57, 24, 25, 27, 26, 30, 28, 60, 56, 61, 21, 23, 31, 29, 63, 50, 51, 59, 58, 62, 54, 4150, 4112, 4113, 4115, 4114, 4118, 4116, 4148, 4144, 4149, 37

Offset: 0

Author

Antti Karttunen, May 14 2018

Keywords

• nonn

Comments

All nonnegative integers occur provided that A304531 is a permutation of natural numbers.

Shares with sequences like A003188, A006068, A300838, A302846, A303765, A303767 and A304083 the property that when moving from any a(n) to a(n+1) either a subset of 0-bits are toggled on (changed to 1's), or a subset of 1-bits are toggled off (changed to 0's), but no both kind of changes may occur at the same step.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..8446
• Index entries for sequences related to binary expansion of n
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A304534 (inverse).

Cf. A052331, A304531, A304535, A304536, A304537.

Programs

PARI

A304533(n) = A052331(A304531(1+n));

Formula

a(n) = A052331(A304531(1+n)).

For all n >= 0, A000120(a(n)) = A304536(n), A019565(a(n)) = A304537(n).