A360415 a(n) is the greatest number k not yet in the sequence such that A065361(n) = A065361(k).

0, 1, 3, 2, 4, 9, 6, 10, 12, 5, 7, 11, 8, 13, 27, 18, 28, 30, 15, 19, 29, 21, 31, 36, 33, 37, 39, 14, 16, 20, 17, 22, 32, 24, 34, 38, 23, 25, 35, 26, 40, 81, 54, 82, 84, 45, 55, 83, 57, 85, 90, 87, 91, 93, 42, 46, 56, 48, 58, 86, 63, 88, 92, 60, 64, 89, 66, 94

Offset

0,3

Comments

This sequence is a self-inverse permutation of the nonnegative integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..9841

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Formula

a(A360413(n, k)) = A360413(n, A002487(n) + 1 - k).

a(A032924(n)) = A005836(n+1) for any n > 0.

a(A005836(n+1)) = A032924(n) for any n > 0.

Example

There are four numbers k such that A065361(k) = 8: 14, 15, 18, 27,
- so a(14) = 27,
     a(15) = 18,
     a(18) = 15,
     a(27) = 14.

Prog

(PARI) See Links section.

Crossrefs

See A360434 for a similar sequence.

Cf. A002487, A005836, A032924, A065361, A360413.

Sequence in context: A270701 A083762 A173028 * A264985 A265355 A265354

Adjacent sequences: A360412 A360413 A360414 * A360416 A360417 A360418

Keyword

nonn,base

Author

Rémy Sigrist, Feb 06 2023

Status

approved