This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A114578 #3 Mar 30 2012 18:57:06 %S A114578 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, %T A114578 7,94,28,184,125,236,55,14,77,164,42,296,24,11,105,356,36,416,212,140, %U A114578 270,476,60,20,84,183,52,536,330,32,13,115,390,596,48,656,450,235 %N A114578 Transposition sequence of the dispersion of the composite numbers. %C A114578 A self-inverse permutation of the positive integers. %F A114578 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. %e A114578 Start with the northwest corner of T: %e A114578 1 4 9 16 26 %e A114578 2 6 12 21 33 %e A114578 3 8 15 25 38 %e A114578 5 10 18 28 42 %e A114578 a(1)=1 because 1=T(1,1) and T(1,1)=1. %e A114578 a(2)=4 because 2=T(2,1) and T(1,2)=4. %e A114578 a(3)=9 because 3=T(3,1) and T(1,3)=9. %e A114578 a(10)=21 because 10=T(4,2) and T(2,4)=21. %Y A114578 Cf. A114577. %K A114578 nonn %O A114578 1,2 %A A114578 _Clark Kimberling_, Dec 09 2005