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 A176205 As S(x), satisfies S(x)/S(x^2) = (1 + 3x + 5x^2) 1
 1, 3, 8, 9, 23, 24, 49, 27, 68, 69, 139, 72, 169, 147, 272, 81, 203, 204, 409, 207, 484, 417, 767, 216, 529 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Has an apparent fractal structure with the following properties: Terms n = (0, 1, 3, 7, 15,...) = (1, 3, 9, 27,...). Odd n-th terms are divisible by 3 (starting with n=1) creating the same sequence. Then the result is relabeled with n=0,1,2,...; with the odds again divisible by 3, getting (1, 3, 8, 9, 23,...); and so on. LINKS FORMULA Given M = an infinite triangular matrix with (1, 3, 5,...) in each column; shifted down twice for columns >0. Then A176205 = Lim_{n->inf.} M^n, the left shifted vector considered as a sequence. CROSSREFS Sequence in context: A295289 A212849 A191487 * A099256 A167344 A025615 Adjacent sequences:  A176202 A176203 A176204 * A176206 A176207 A176208 KEYWORD nonn AUTHOR Gary W. Adamson, Apr 11 2010 STATUS approved

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