%I A114538
%S A114538 1,4,6,2,8,3,7,5,11,31,9,127,17,709,5381,52711,13,648391,59,9737333,
%T A114538 174440041,3657500101,277,88362852307,2428095424619,75063692618249,
%U A114538 2586559730396077
%N A114538 Transposition sequence of the dispersion of the primes.
%C A114538 A self-inverse permutation of the positive integers.
%F A114538 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 A114538 Start with the northwest corner of T:
%e A114538 1 2 3 5 11 31 127 709 5381 52711 648391
%e A114538 4 7 17 59 277 1787 15299 167449 2269733 37139213 718064159
%e A114538 6 13 41 179 1063 8527 87803 1128889 17624813 326851121 7069067389
%e A114538 8 19 67 331 2221 19577 219613 3042161 50728129 997525853 22742734291
%e A114538 9 23 83 431 3001 27457 319211 4535189 77557187 1559861749 36294260117
%e A114538 10 29 109 599 4397 42043 506683 7474967 131807699 2824711961 64988430769
%e A114538 12 37 157 919 7193 72727 919913 14161729 259336153 5545806481 136395369829
%e A114538 a(1)=1 because 1=T(1,1) and T(1,1)=1.
%e A114538 a(2)=4 because 2=T(1,2) and T(2,1)=4.
%e A114538 a(3)=6 because 3=T(1,3) and T(3,1)=6.
%e A114538 a(13)=17 because 13=T(3,2) and T(2,3)=17.
%Y A114538 Cf. A114537.
%Y A114538 Columns 1-6 above: A018252, A007821, A049078, A049079, A049080, A049081.
%Y A114538 Rows 1-7 above: A007097, A057450, A057451, A057452, A057453, A057456, 
               A057457.
%Y A114538 Sequence in context: A066252 A065165 A088516 this_sequence A026239 A114579 
               A021220
%Y A114538 Adjacent sequences: A114535 A114536 A114537 this_sequence A114539 A114540 
               A114541
%K A114538 nonn
%O A114538 1,2
%A A114538 Clark Kimberling (ck6(AT)evansville.edu), Dec 07 2005
%E A114538 a(22)-a(27) from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 24 2005