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Search: id:A083906
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| A083906 |
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Sum of Gaussian polynomial vectors. |
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+0
6
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| 1, 2, 3, 1, 4, 2, 2, 5, 3, 4, 3, 1, 6, 4, 6, 6, 6, 2, 2, 7, 5, 8, 9, 11, 9, 7, 4, 3, 1, 8, 6, 10, 12, 16, 16, 18, 12, 12, 8, 6, 2, 2, 9, 7, 12, 15, 21, 23, 29, 27, 26, 23, 21, 15, 13, 7, 4, 3, 1, 10, 8, 14, 18, 26, 30, 40, 42, 48, 44, 46, 40
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums of a(n) are powers of two. Number of row values conform to A033638. Number of row values is based on the longest vector; In the example, max of 1,6,9,10,9,6,1 is ten. Note also that 1 6 9 10 9 6 1 and related distributions are antidiagonals of A077028. A083480 is a variation illustrating a relationship with numeric partitions, A000041.
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REFERENCES
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Andrews(1976) Theory of Partitions (page 242)
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EXAMPLE
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When viewed as an array with A033638(r) entries per row, the table begins:
1
2
3 1
4 2 2
5 3 4 3 1
6 4 6 6 6 2 2
7 5 8 9 11 9 7 4 3 1
...
this last row because we can sum
1
1 1 1 1 1 1
1 1 2 2 3 2 2 1 1
1 1 2 3 3 3 3 2 1 1
1 1 2 2 3 2 2 1 1
1 1 1 1 1 1
1
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CROSSREFS
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Cf. A033638, A077028, A083479, A083480.
The rows are formed by the nonzero entries of the columns of A049597.
Adjacent sequences: A083903 A083904 A083905 this_sequence A083907 A083908 A083909
Sequence in context: A087088 A104705 A143361 this_sequence A022446 A122196 A023117
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KEYWORD
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nonn,uned
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Jun 19 2003
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