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%I #5 May 01 2014 02:47:42
%S 1,2,3,4,6,7,5,14,16,8,9,15,42,19,17,10,37,43,51,44,18,11,38,121,52,
%T 126,47,20,12,39,122,149,127,135,53,21,13,40,123,150,385,136,154,56,
%U 22,23,41,124,151,386,413,155,163,60,45,24,107,125,152,387,414,475,164
%N Transpose of A072764. 'cons' with arguments swapped.
%H A. Karttunen, <a href="http://www.iki.fi/~kartturi/matikka/Nekomorphisms/gatomorf.htm">Gatomorphisms</a> (with the complete Scheme source)
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%o (Scheme function showing the general idea:) (define (A072766 n) (cond ((zero? n) n) (else (let ((y (A025581 (-1+ n))) (x (A002262 (-1+ n)))) (CatalanRankGlobal (parenthesization->binexp (cons (binexp->parenthesization (A014486 x)) (binexp->parenthesization (A014486 y)))))))))
%Y Inverse permutation: A072767. a(n) = A069770(A072764(n)). Also transpose of A072764, i.e. a(n) = A072764(A038722(n)). Projection functions are A072772 & A072771. The sizes of the corresponding Catalan structures: A072768. The first column: A057548, the first row: A072795. Cf. also A025581, A002262.
%K nonn,tabl
%O 1,2
%A _Antti Karttunen_, Jun 12 2002
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