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 A125150 The interspersion T(2,3,0), by antidiagonals. 2
 1, 2, 3, 4, 7, 5, 8, 14, 10, 6, 16, 28, 21, 12, 9, 32, 56, 42, 25, 18, 11, 64, 113, 85, 50, 37, 22, 13, 128, 227, 170, 101, 75, 44, 26, 15, 256, 455, 341, 202, 151, 89, 53, 31, 17, 512, 910, 682, 404, 303, 179, 106, 63, 35, 19, 1024, 1820, 1365, 809, 606, 359, 213, 126 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Every positive integer occurs exactly once and each pair of rows are interspersed after initial terms. REFERENCES Clark Kimberling, Interspersions and fractal sequences associated with fractions (c^j)/(d^k), Journal of Integer Sequences 10 (2007, Article 07.5.1) 1-8. LINKS C. Kimberling, Interspersions and Dispersions. FORMULA Row 1: t(1,h)=2^(h-1), h=1,2,3,... Row 2: t(2,h)=Floor[r*2^(h-1)], r=(2^5)/(3^2), where 3=Floor[r] is least positive integer (LPI) not in row 1. Row 3: t(3,h)=Floor[r*2^(h-1)], r=(2^4)/(3^1), where 5=Floor[r] is the LPI not in rows 1 and 2. Row m: t(m,h)=Floor[r*2^(h-1)], where r=(2^j)/(3^k), where k is the LPI for which there is an integer j for which the LPI not in rows 1,2,...,m-1 is Floor[r]. EXAMPLE Northwest corner: 1 2 4 8 16 32 64 3 7 14 28 56 113 227 5 10 21 42 85 170 341 6 12 25 50 101 202 404 9 18 37 75 151 303 606 CROSSREFS Cf. A125154, A125158. Sequence in context: A099864 A056535 A026237 * A183089 A191544 A191438 Adjacent sequences:  A125147 A125148 A125149 * A125151 A125152 A125153 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Nov 21 2006 STATUS approved

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