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Search: id:A117268
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| A117268 |
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Triangle, row sums = A117289, binomial transform of the tribonacci sequence. |
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+0
2
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| 1, 1, 1, 2, 1, 2, 4, 2, 3, 5, 7, 4, 6, 9, 14, 13, 7, 11, 17, 26, 40, 24, 13, 20, 31, 48, 74, 114, 44, 24, 37, 57, 88, 136, 210, 324, 81, 44, 68, 105, 162, 250, 386, 596, 920
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Leftmost column of the triangle = the tribonacci sequence, A000073: (1, 1, 2, 4, 7, 13...); rightmost diagonal of the triangle = binomial transform of A000073 = (1, 2, 5, 14, 40, 114...) = A117189.
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FORMULA
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Difference rows of A117267 become rows of A117268
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EXAMPLE
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Taking difference rows of A117267: (1; 1, 2; 2, 3, 5; 4, 6, 9, 14;...), we get A117268:
1;
1, 1;
2, 1, 2;
4, 2, 3, 5;
7, 4, 6, 9, 14;
13, 7, 11, 17, 26, 40;
24, 13, 20, 31, 48, 74, 114;
...
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CROSSREFS
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Cf. A117267, A117189, A000073.
Sequence in context: A152251 A144025 A058573 this_sequence A119538 A068309 A099470
Adjacent sequences: A117265 A117266 A117267 this_sequence A117269 A117270 A117271
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 05 2006
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