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Search: id:A153583
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| 1, 2, 1, 3, 2, 3, 4, 3, 6, 9, 5, 4, 9, 18, 24, 6, 5, 12, 27, 48, 65, 7, 6, 15, 36, 72, 130, 177, 8, 7, 18, 45, 96, 195, 354, 481, 9, 8, 21, 54, 120, 260, 531, 962, 1308, 10, 9, 24, 63, 144, 325, 708, 1443, 2616, 3555
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A024581: (1, 3, 8, 22, 60, 163,...).
Right border = A153582.
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REFERENCES
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Steve Butler, Ron Graham & Nan Zang; "Jumping Sequences, 8.4.5, Journal of Integer Sequences, Vol. 11, 2008, Issue 1.
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FORMULA
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Convolution triangle by rows, A004736 * (A153582 * 0^(n-k)).
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EXAMPLE
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First few rows of the triangle =
1;
2, 1;
3, 2, 3;
4, 3, 6, 9;
5, 4, 9, 18, 24;
6, 5, 12, 27, 48, 65;
7, 6, 15, 36, 72, 130, 177;
8, 7, 18, 45, 96, 195, 354, 481;
9, 8, 21, 54, 120, 260, 531, 962, 1308;
10, 9, 24, 63, 144, 325, 708, 1443, 2616, 3555;
...
Row 3 = (4, 3, 6, 9) = termwise products of (4, 3, 2, 1) and (1, 1, 3, 9);
where A153582 = (1, 1, 3, 9, 24, 65,...).
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CROSSREFS
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Cf. A024581, A153582, A004736
Sequence in context: A133926 A144337 A143929 this_sequence A029163 A137661 A122545
Adjacent sequences: A153580 A153581 A153582 this_sequence A153584 A153585 A153586
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 28 2008
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