A360413 -id:A360413 - cp's OEIS frontend

A360414 Inverse permutation to A360413.

0, 1, 2, 3, 4, 5, 6, 8, 10, 7, 9, 11, 12, 13, 14, 15, 18, 21, 16, 19, 22, 23, 26, 28, 29, 33, 36, 17, 20, 24, 25, 27, 30, 31, 34, 37, 32, 35, 38, 39, 40, 41, 42, 46, 50, 43, 47, 51, 52, 57, 60, 61, 68, 73, 44, 48, 53, 54, 58, 62, 63, 69, 74, 64, 70, 75, 76, 80

Offset: 0

Rémy Sigrist, Feb 06 2023

			A360413(43) = 45, so a(45) = 43.

Cf. A360413.

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

Original entry on oeis.org

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

Rémy Sigrist, Feb 06 2023

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

			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.

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

See A360434 for a similar sequence.

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

PARI
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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.

cp's OEIS Frontend

A360414 Inverse permutation to A360413.

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

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