A338252 -id:A338252

Search: a338252 -id:a338252

Displaying 1-2 of 2 results found.

page 1

A338254

Inverse permutation to A338252.

+20
2

0, 1, 2, 4, 3, 5, 6, 9, 10, 8, 7, 17, 18, 16, 15, 12, 11, 13, 14, 20, 19, 21, 22, 25, 26, 24, 23, 36, 35, 37, 38, 41, 42, 40, 39, 33, 34, 32, 31, 28, 27, 29, 30, 68, 67, 69, 70, 73, 74, 72, 71, 65, 66, 64, 63, 60, 59, 61, 62, 49, 50, 48, 47, 44, 43, 45, 46, 52

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

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. A338252.

KEYWORD

nonn,look,base

AUTHOR

Rémy Sigrist, Oct 18 2020

STATUS

approved

A338251

Nonnegative values in A317050, in order of appearance.

+10
3

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

(list; graph; refs; listen; history; text; internal format)

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])))