A114578 Transposition sequence of the dispersion of the composite numbers.

1, 4, 9, 2, 16, 6, 26, 12, 3, 21, 39, 8, 56, 33, 15, 5, 78, 25, 106, 49, 10, 69, 141, 38, 18, 7, 94, 28, 184, 125, 236, 55, 14, 77, 164, 42, 296, 24, 11, 105, 356, 36, 416, 212, 140, 270, 476, 60, 20, 84, 183, 52, 536, 330, 32, 13, 115, 390, 596, 48, 656, 450, 235

Offset: 1

Author

Clark Kimberling, Dec 09 2005

Keywords

• nonn

Comments

A self-inverse permutation of the positive integers.

Examples

			Start with the northwest corner of T:
1 4 9 16 26
2 6 12 21 33
3 8 15 25 38
5 10 18 28 42
a(1)=1 because 1=T(1,1) and T(1,1)=1.
a(2)=4 because 2=T(2,1) and T(1,2)=4.
a(3)=9 because 3=T(3,1) and T(1,3)=9.
a(10)=21 because 10=T(4,2) and T(2,4)=21.
		

Crossrefs

Cf. A114577.

Formula

Suppose (as at A114538) that T is a rectangular array consisting of all the positive integers, each exactly once. The transposition sequence of T is obtained by placing T(i, j) in position T(j, i) for all i and j.