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

0,3

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).

Links

Rémy Sigrist, Table of n, a(n) for n = 0..5461

Index entries for sequences that are permutations of the natural numbers

Formula

a(0) = 0.

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

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

Example

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, ...

Prog

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

Crossrefs

See A338245 and A338248 for similar sequences.

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

Sequence in context: A183082 A183209 A046708 * A185728 A285492 A272090

Adjacent sequences: A338248 A338249 A338250 * A338252 A338253 A338254

Keyword

nonn,look,base

Author

Rémy Sigrist, Oct 18 2020

Status

approved