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 A183211 First of two trees generated by floor[(3n-1)/2]. 4
 1, 3, 4, 9, 5, 12, 13, 27, 7, 15, 17, 36, 19, 39, 40, 81, 10, 21, 22, 45, 25, 51, 53, 108, 28, 57, 58, 117, 59, 120, 121, 243, 14, 30, 31, 63, 32, 66, 67, 135, 37, 75, 76, 153, 79, 159, 161, 324, 41, 84, 85, 171, 86, 174, 175, 351, 88, 177 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This tree grows from (L(1),U(1))=(1,3). The second tree, A183212, grows from (L(2),U(2))=(2,6). Here, L(n)=floor[(3n-1)/2] and U(n)=3n. The two trees are complementary in the sense that every positive integer is in exactly one tree. The sequence formed by taking the terms of this tree in increasing order is A183213. Leftmost branch of this tree: A183207. Rightmost: A000244. See A183170 and A183171 for the two trees generated by the Beatty sequence of sqrt(2). LINKS Ivan Neretin, Table of n, a(n) for n = 1..8192 FORMULA See the formula at A183209, but use L(n)=floor[(3n-1)/2] and U(n)=3n instead of L(n)=floor(3n/2) and U(n)=3n-1. EXAMPLE First four levels of the tree: .......................1 .......................3 ..............4..................9 ............5...12............13....27 MATHEMATICA a = {1, 3}; row = {a[[-1]]}; Do[a = Join[a, row = Flatten[{Quotient[3 # - 1, 2], 3 #} & /@ row]], {n, 5}]; a (* Ivan Neretin, May 25 2015 *) CROSSREFS Cf. A183170, A183212, A001651, A008585, A183209, A183213. Sequence in context: A070154 A331025 A330403 * A256469 A192334 A140439 Adjacent sequences: A183208 A183209 A183210 * A183212 A183213 A183214 KEYWORD nonn AUTHOR Clark Kimberling, Dec 30 2010 STATUS approved

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Last modified April 23 01:19 EDT 2024. Contains 371906 sequences. (Running on oeis4.)