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Matula-Goebel signature computed for the oriented trees that stay same when "deep-rotated": a(n) = A127301(A243495(n)), listed in the same order as those tree are encoded in A014486.
5

%I #12 Apr 17 2016 09:25:58

%S 1,2,4,3,8,7,5,16,9,19,17,11,32,53,23,67,59,31,64,27,49,131,25,241,83,

%T 331,277,127,128,311,103,227,739,97,1523,431,2221,1787,709,256,81,361,

%U 719,169,169,289,2063,121,563,1433,5623,509,12763,3001,19577,15299,5381,512

%N Matula-Goebel signature computed for the oriented trees that stay same when "deep-rotated": a(n) = A127301(A243495(n)), listed in the same order as those tree are encoded in A014486.

%C Note the first duplicate at a(43) = a(44) = 169, computed for two distinct fixed points in A243495: 1330 & 1535, which encode as A007088(A014486(1330)) = 1101100011100100 and A007088(A014486(1535)) = 1110010011011000 exactly those "dual cases" mentioned in the comments in A057546. Cf. also the comments at A243497.

%o (Scheme) (define (A243496 n) (A127301 (A243495 n)))

%Y Cf. A057546, A014486, A127301, A243495, A243497.

%K nonn

%O 0,2

%A _Antti Karttunen_, Jun 07 2014