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Search: id:A137752
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| A137752 |
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First numerator and then denominator (left to right) of Leibniz's harmonic-like triangle. |
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18
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| 1, 1, 1, 2, 1, 2, 1, 3, 5, 6, 1, 3, 1, 4, 7, 12, 7, 12, 1, 4, 1, 5, 9, 20, 31, 30, 9, 20, 1, 5, 1, 6, 11, 30, 49, 60, 49, 60, 11, 30, 1, 6, 1, 7, 13, 42, 71, 105, 209, 140, 71, 105, 13, 42, 1, 7, 1, 8, 15, 56, 97, 168, 351, 280, 351, 280, 97, 168
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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In this triangle the right-hand edge consists of the reciprocals of the positive integers. A number that is not in this edge is obtained by adding the number diagonally above it to the number to its immediate right. Note that in Leibniz's harmonic triangle we subtract the two numbers to get a number which is not on the right-hand edge.
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EXAMPLE
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1/1; 1/2, 1/2; 1/3, 5/6, 1/3; 1/4, 7/12, 7/12, 1/4; 1/5, 9/20, 31/30, 9/20, 1/5;
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CROSSREFS
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Cf. A003506; A007622; A046201; A046204; A046205; A046206; A046208; A046212.
Cf. A137753
Sequence in context: A058753 A133117 A051276 this_sequence A081169 A030359 A035400
Adjacent sequences: A137749 A137750 A137751 this_sequence A137753 A137754 A137755
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KEYWORD
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frac,nonn,tabl
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AUTHOR
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Mohammad K. Azarian (azarian(AT)evansville.edu), Feb 10 2008
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