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Search: id:A125152
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| A125152 |
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The interspersion T(3,2,0), by antidiagonals. |
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+0
3
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| 1, 3, 2, 9, 6, 4, 27, 20, 13, 5, 81, 60, 40, 15, 7, 243, 182, 121, 45, 22, 8, 729, 546, 364, 136, 68, 25, 10, 2187, 1640, 1093, 410, 205, 76, 30, 11, 6561, 4920, 3280, 1230, 615, 230, 91, 34, 12, 19683, 14762, 9841, 3690, 1845, 691, 273, 102, 38, 14
(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*3^(h-1)], where r=(3^0)/(2^0), h=1,2,3,... Row 2: t(2,h)=Floor[r*3^(h-1)], r=(3^2)/(2^2), where 2=Floor[r] is least positive integer (LPI) not in row 1. Row 3: t(3,h)=Floor[r*3^(h-1)], r=(3^2)/(2^1), where 4=Floor[r] is the LPI not in rows 1 and 2. Row m: t(m,h)=Floor[r*3^(h-1)], where r=(3^j)/(2^k), where k is the least integer >=0 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 3 9 27 81 243 729
2 6 20 60 182 546 1640
4 13 40 121 364 1093 3280
5 15 45 136 410 1230 3690
7 22 68 205 615 1845 5535
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CROSSREFS
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Cf. A125156, A125160.
Sequence in context: A033313 A140590 A164279 this_sequence A082819 A078478 A019778
Adjacent sequences: A125149 A125150 A125151 this_sequence A125153 A125154 A125155
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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, corrected Nov 24 2006
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