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

0,3

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).

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10922

Index entries for sequences that are permutations of the natural numbers

Formula

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

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

Example

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, ...

Prog

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

Crossrefs

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

Sequence in context: A132949 A275899 A304971 * A086434 A086433 A102568

Adjacent sequences: A338249 A338250 A338251 * A338253 A338254 A338255

Keyword

nonn,look,base

Author

Rémy Sigrist, Oct 18 2020

Status

approved