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Search: id:A125150
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| A125150 |
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The interspersion T(2,3,0), by antidiagonals. |
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+0
3
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| 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; 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)=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].
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EXAMPLE
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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
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CROSSREFS
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Cf. A125154, A125158.
Sequence in context: A099864 A056535 A026237 this_sequence A167151 A072275 A122989
Adjacent sequences: A125147 A125148 A125149 this_sequence A125151 A125152 A125153
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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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