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0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1
The first representative in A014486 for each equivalence class of non-oriented binary tree corresponding to the oriented (plane) binary tree encoded by A014486(n).
+10
6
0, 1, 2, 2, 4, 4, 6, 4, 4, 9, 9, 11, 9, 9, 14, 14, 14, 9, 9, 14, 11, 9, 9, 23, 23, 25, 23, 23, 28, 28, 28, 23, 23, 28, 25, 23, 23, 37, 37, 39, 37, 37, 42, 42, 37, 23, 23, 37, 25, 23, 23, 42, 42, 39, 28, 28, 37, 28, 23, 23, 37, 28, 25, 23, 23, 65, 65, 67, 65, 65, 70, 70, 70, 65
COMMENTS
Any n that occurs in the sequence, occurs for the first time at n (i.e. a(n)=n), thus there are no cases where a(n) > n. A001190(n+1) distinct values occur in each range [ A014137(n-1).. A014138(n-1)]. This sequence is similar to A127302 in that it maps all the plane binary trees which belong to the same equivalence class of non-oriented binary trees to one and same integer and likewise, every Catalan bijection whose signature permutation SP satisfies the condition mentioned in A127302, satisfies in a similar way A153835(SP(n)) = A153835(n).
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