

A114578


Transposition sequence of the dispersion of the composite numbers.


2



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
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OFFSET

1,2


COMMENTS

A selfinverse permutation of the positive integers.


LINKS

Table of n, a(n) for n=1..63.


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

Cf. A114577.
Sequence in context: A238324 A128204 A079049 * A135044 A236854 A235491
Adjacent sequences: A114575 A114576 A114577 * A114579 A114580 A114581


KEYWORD

nonn


AUTHOR

Clark Kimberling, Dec 09 2005


STATUS

approved



