A338252 Nonpositive values in A317050, in order of appearance and negated.

0, 1, 2, 4, 3, 5, 6, 10, 9, 7, 8, 16, 15, 17, 18, 14, 13, 11, 12, 20, 19, 21, 22, 26, 25, 23, 24, 40, 39, 41, 42, 38, 37, 35, 36, 28, 27, 29, 30, 34, 33, 31, 32, 64, 63, 65, 66, 62, 61, 59, 60, 68, 67, 69, 70, 74, 73, 71, 72, 56, 55, 57, 58, 54, 53, 51, 52, 44

Offset: 0

Author

Rémy Sigrist, Oct 18 2020

Keywords

• nonn
• look
• base

Comments

This sequence is a permutation of the nonnegative integers, with inverse A338254 (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, ...
We keep:  0,     1,  2,              4,  3,  5,  6,  10,  9,  7,  8, ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10922
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A053754, A136324, A317050, A338251, A338254.

Programs

PARI

A317050(n) = fromdigits(binary(bitxor(n, n>>1)), -2)
print (-select(v -> v<=0, apply(A317050, [0..152])))

Formula

a(n) = -A317050(A053754(n+1)) for any n >= 0.

a(n) = n iff n belongs to A136324.