A114882 Transposition sequence of A114881.

1, 3, 2, 5, 4, 7, 6, 8, 10, 9, 12, 11, 16, 24, 18, 13, 22, 15, 28, 48, 30, 17, 36, 14, 40, 120

Offset

1,2

Comments

A self-inverse permutation of the natural numbers.

Links

Table of n, a(n) for n=1..26.

Formula

(See A114538 for definition of transposition sequence.)

Example

Start with the northwest corner of A114881:
1 3 5 7 9
2 8 14 20 26
4 24 34 54 64
6 48 76 90 118
a(1)=1 because 1=T(1,1) and T(1,1)=1.
a(2)=3 because 2=T(2,1) and T(1,2)=3.
a(3)=2 because 3=T(1,2) and T(2,1)=2.
a(20)=48 because 20=T(2,4) and T(4,2)=48.

Crossrefs

Cf. A083140, A114881.

Sequence in context: A341903 A066250 A066251 * A306436 A355504 A004442

Adjacent sequences: A114879 A114880 A114881 * A114883 A114884 A114885

Keyword

nonn

Author

Clark Kimberling, Jan 03 2006

Status

approved