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A243497 A243496 sorted into ascending order, with duplicates removed. 4

%I #13 Jul 29 2014 13:46:46

%S 1,2,3,4,5,7,8,9,11,16,17,19,23,25,27,31,32,49,53,59,64,67,81,83,97,

%T 103,121,125,127,128,131,169,227,241,243,256,277,289,311,331,343,361,

%U 419,431,509,512,529,563,661,691,709,719,739,841,961,1009,1024,1433,1523,1619,1681,1787,1849,1879,2063

%N A243496 sorted into ascending order, with duplicates removed.

%C Matula-codes for trees which are almost "uniform", but which allow cases like 169, 841, 1009, 1681, 1849, ... where there is a special relation between prime index and the exponent. (Cf. the comments at A243496).

%C Differs from A214577 for the first time at n=31, where A214577(31)=227, while here we have 169 at that position, because it corresponds exactly to that "dual" case mentioned in A057546, in excess to those mentioned in A003238. Note that 169 = 13*13 = p_{2*3}^2.

%C a(0) = 1 stands for the empty tree.

%Y Cf. A214577 (a subsequence), A209638, A243494.

%K nonn

%O 0,2

%A _Antti Karttunen_, Jun 07 2014

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