A261098 Row 1 of A261096.

1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 96, 97, 98, 99, 100, 101

Offset

0,3

Comments

Equally, column 1 of A261097.

Take the n-th (n>=0) permutation from the list A055089 (A195663), change 1 to 2 and 2 to 1 to get another permutation, and note its rank in the same list to obtain a(n).

Self-inverse permutation of nonnegative integers.

Links

Antti Karttunen, Table of n, a(n) for n = 0..5039

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A261096(1,n).

By conjugating related permutations:

a(n) = A060119(A261218(A060126(n))).

Example

In A195663 the permutation with rank 12 is [1,3,4,2], and swapping the elements 1 and 2 we get permutation [2,3,4,1], which is listed in A195663 as the permutation with rank 18, thus a(12) = 18.

Crossrefs

Row 1 of A261096, column 1 of A261097.

Cf. A055089, A195663.

Cf. also A004442.

Related permutations: A060119, A060126, A261218.

Sequence in context: A057301 A344531 A213171 * A216252 A335615 A328622

Adjacent sequences: A261095 A261096 A261097 * A261099 A261100 A261101

Keyword

nonn

Author

Antti Karttunen, Aug 26 2015

Status

approved