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 A125151 The interspersion T(2,3,1), by antidiagonals. 2
 1, 2, 3, 5, 7, 4, 10, 14, 9, 6, 21, 28, 18, 12, 8, 42, 56, 37, 25, 16, 11, 85, 113, 75, 50, 33, 22, 13, 170, 227, 151, 101, 67, 44, 26, 15, 341, 455, 303, 202, 134, 89, 53, 31, 17, 682, 910, 606, 404, 269, 179, 106, 63, 35, 19, 1365, 1820, 1213, 809, 539, 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)=Floor[r*2^(h-1)], where r=(2^2)/(3^1), 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=(2^7)/(3^3), where 4=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 least integer >=1 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 5 10 21 42 85 3 7 14 28 56 113 227 4 9 18 37 75 151 303 6 12 25 50 101 202 404 8 16 33 67 134 269 539 CROSSREFS Cf. A125155, A125159. Sequence in context: A284145 A284189 A114319 * A302024 A273665 A212646 Adjacent sequences:  A125148 A125149 A125150 * A125152 A125153 A125154 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Nov 21 2006 STATUS approved

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Last modified May 11 12:44 EDT 2021. Contains 343791 sequences. (Running on oeis4.)