%I #8 Oct 01 2014 15:42:20

%S 1,4,6,2,8,3,7,5,11,31,9,127,17,709,5381,52711,13,648391,59,9737333,

%T 174440041,3657500101,277,88362852307,2428095424619,75063692618249,

%U 2586559730396077

%N Transposition sequence of the dispersion of the primes.

%C A self-inverse permutation of the positive integers.

%H Neil Fernandez, <a href="http://www.borve.org/primeness/FOP.html">An order of primeness, F(p)</a>

%H Neil Fernandez, <a href="/A006450/a006450.html">An order of primeness</a> [cached copy, included with permission of the author]

%H Neil Fernandez, <a href="http://www.borve.org/primeness/intro.html">The Exploring Primeness Project</a>

%H Robert G. Wilson v, <a href="/A114538/a114538.txt">The northwest corner of the Primeness array.</a>

%F Suppose T is a rectangular array consisting of positive integers, each exactly once. The transposition sequence of T is here defined by placing T(i, j) in position T(j, i) for all i and j.

%e Start with the northwest corner of T:

%e 1 2 3 5 11 31 127 709 5381 52711 648391

%e 4 7 17 59 277 1787 15299 167449 2269733 37139213 718064159

%e 6 13 41 179 1063 8527 87803 1128889 17624813 326851121 7069067389

%e 8 19 67 331 2221 19577 219613 3042161 50728129 997525853 22742734291

%e 9 23 83 431 3001 27457 319211 4535189 77557187 1559861749 36294260117

%e 10 29 109 599 4397 42043 506683 7474967 131807699 2824711961 64988430769

%e 12 37 157 919 7193 72727 919913 14161729 259336153 5545806481 136395369829

%e a(1)=1 because 1=T(1,1) and T(1,1)=1.

%e a(2)=4 because 2=T(1,2) and T(2,1)=4.

%e a(3)=6 because 3=T(1,3) and T(3,1)=6.

%e a(13)=17 because 13=T(3,2) and T(2,3)=17.

%Y Cf. A114537.

%Y Columns 1-6 above: A018252, A007821, A049078, A049079, A049080, A049081.

%Y Rows 1-7 above: A007097, A057450, A057451, A057452, A057453, A057456, A057457.

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 07 2005

%E a(22)-a(27) from _Robert G. Wilson v_, Dec 24 2005