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Search: id:A135018
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| A135018 |
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Triangle read by rows: row 1 = {1}, row 2 = {1,2}. Row n consists of the smallest n distinct positive integers such that no term in row (n-1) is the average of a term in row (n-2) and a term in row n. |
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+0
1
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| 1, 1, 2, 2, 4, 5, 1, 4, 5, 10, 1, 2, 7, 9, 10, 2, 5, 6, 7, 11, 12
(list; table; graph; listen)
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OFFSET
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1,3
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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Triangle begins:
1;
1,2;
2,4,5;
1,4,5,10;
1,2,7,9,10;
2,5,6,7,11,12;
etc.
Look at row 3 (2,4,5) and row 5 (1,2,7,9,10). The averages of the terms in row 3 with the terms of row 5 are: (2+1)/2 = 1.5, (2+2)/2=2, (2+7)/2=4.5; and continuing, the averages are: 5.5, 6, (4+1)/2= 2.5, 3, 5.5, 6.5, 7, (5+1)/2=3, 3.5, 6, 7, 7.5. None of these averages occur among the terms of row 4 (1,4,5,10). In fact, the terms of row 5 are the smallest 5 distinct positive integers such that the averages with the terms of row 3 do not equal any of the terms of row 4.
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CROSSREFS
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Adjacent sequences: A135015 A135016 A135017 this_sequence A135019 A135020 A135021
Sequence in context: A025557 A059372 A049261 this_sequence A073018 A109295 A057899
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KEYWORD
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more,nonn,tabl
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AUTHOR
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Leroy Quet Feb 28 2008
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