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 A183169 Tree generated by the squares. 3
 1, 2, 4, 3, 16, 6, 9, 5, 256, 20, 36, 8, 81, 12, 25, 7, 65536, 272, 400, 24, 1296, 42, 64, 11, 6561, 90, 144, 15, 625, 30, 49, 10, 4294967296, 65792, 73984, 288, 160000, 420, 576, 29, 1679616, 1332, 1764, 48, 4096, 72, 121, 14 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A permutation of the positive integers.  See the comment at A183079 (tree generated by the triangular numbers). The leftmost numbers (1,2,4,16,...) are, after the initial 1, given by A001146.   The rightmost numbers (1,2,3,5,7,10,...) are, after the initial 1, the iterates of the nonsquare function; see a comment at A033638. LINKS FORMULA Let L(n) be the n-th square (A000290). Let U(n) be the n-th nonsquare (A000037). The tree-array T(n,k) is then given by rows: T(0,0)=1; T(1,0)=2; T(n,2j)=L(T(n-1),j); T(n,2j+1)=U(T(n-1),j); for j=0,1,...,2^(n-1)-1, n>=2. EXAMPLE First levels of the tree: ......................1 ......................2 ...........4.....................3 .......16.......6...........9..........5 ...256...20...36..8......81...12....25...7 CROSSREFS Cf. A183079, A000037, A183169, A001146, A033638. Sequence in context: A115399 A109429 A114894 * A225546 A053124 A242500 Adjacent sequences:  A183166 A183167 A183168 * A183170 A183171 A183172 KEYWORD nonn,tabf AUTHOR Clark Kimberling, Dec 28 2010 STATUS approved

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