A338251 Nonnegative values in A317050, in order of appearance.

0, 1, 2, 3, 5, 4, 8, 9, 7, 6, 10, 11, 13, 12, 20, 21, 19, 18, 14, 15, 17, 16, 32, 33, 31, 30, 34, 35, 37, 36, 28, 29, 27, 26, 22, 23, 25, 24, 40, 41, 39, 38, 42, 43, 45, 44, 52, 53, 51, 50, 46, 47, 49, 48, 80, 81, 79, 78, 82, 83, 85, 84, 76, 77, 75, 74, 70, 71

Offset: 0

Author

Rémy Sigrist, Oct 18 2020

Keywords

• nonn
• look
• base

Comments

This sequence is a permutation of the nonnegative integers, with inverse A338253 (the offset has been set to 0 so as to have a permutation).

Examples

			A338251 = 0, 1, -1, -2, 2, 3, 5, 4, -4, -3, -5, -6, -10, -9, -7, -8, 8, ...
We keep:  0, 1,         2, 3, 5, 4,                                  8, ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..5461
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

See A338245 and A338248 for similar sequences.

Cf. A053738, A193652, A317050, A338252, A338253.

Programs

PARI

A317050(n) = fromdigits(binary(bitxor(n, n>>1)), -2)
print (select(v -> v>=0, apply(A317050, [0..109])))

Formula

a(0) = 0.

a(n) = A317050(A053738(n)) for any n > 0.

a(n) = n iff n belongs to A193652.