%I A072637
%S A072637 0,1,2,3,6,4,5,14,15,7,16,8,19,42,43,51,52,11,9,39,37,10,28,38,112,123,
%T A072637 121,151,149,122,376,150,466,20,53,17,44,154,155,126,127,18,47,54,156,
%U A072637 135,136,480,481,477,475,387,385,476,1531,386,1234,415,413,1542,1540
%N A072637 Inverse permutation to A072636.
%H A072637 A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/
               gatomorf.htm">Gatomorphisms</a> (Includes the complete Scheme source 
               for computing this sequence)
%H A072637 <a href="Sindx_Per.html#IntegerPermutation">Index entries for sequences 
               that are permutations of the natural numbers</a>
%o A072637 (Scheme code otherwise as for A072635, but with "transposed coordinates":)
%o A072637 (define A072637 (arithrank->lexrank-bijection A059906 A059905))
%Y A072637 A072644 gives the size of the corresponding parenthesizations, i.e. A072644(n) 
               = A029837(A014486(A072637(n))+1)/2 [A029837(n+1) gives the binary 
               width of n].
%Y A072637 A072637(n) = A057163(A072635(n)). Cf. also A014486, A059905, A059906, 
               A071654, A072646.
%Y A072637 Sequence in context: A054076 A064470 A127915 this_sequence A125703 A156688 
               A019567
%Y A072637 Adjacent sequences: A072634 A072635 A072636 this_sequence A072638 A072639 
               A072640
%K A072637 nonn
%O A072637 0,3
%A A072637 Antti Karttunen Jun 02 2002