OFFSET
1,2
COMMENTS
A self-inverse permutation of the positive integers.
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.
EXAMPLE
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 09 2005
STATUS
approved