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Search: id:A125151
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| A125151 |
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The interspersion T(2,3,1), by antidiagonals. |
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+0
3
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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Every positive integer occurs exactly once, and each pair of rows are interspersed after initial terms.
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REFERENCES
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C. Kimberling, "Interspersions and fractal sequences associated with fractions (c^j)/(d^k)," preprint, 2006.
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LINKS
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C. Kimberling, Interspersions and Dispersions.
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FORMULA
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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].
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EXAMPLE
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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
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CROSSREFS
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Cf. A125155, A125159.
Sequence in context: A065037 A101438 A103683 this_sequence A103866 A080164 A126048
Adjacent sequences: A125148 A125149 A125150 this_sequence A125152 A125153 A125154
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Nov 21 2006
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