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Search: id:A140164
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| A140164 |
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Binomial transform of [1, 1, 1, 1, -1, -1, 5, -11, 19, -29, 41,...]. |
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+0 1
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| 1, 2, 4, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146, 152, 158, 164, 170, 176, 182, 188, 194
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sum of antidiagonal terms of the following arithmetic array:
1, 1, 1, 1, 1,...
1, 2, 3, 4, 5,...
1, 3, 5, 7, 9,...
1, 4, 7, 10, 13,...
...
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FORMULA
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Binomial transform of [1, 1, 1, 1, -1, -1, 5, -11, 19, -29, 41, -55,...]; where A028387 = (1, 5, 11, 19, 29, 41,...), such that A028387(n) = (2*T(n) - 1).
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EXAMPLE
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a(4) = 8 = (1, 3, 3, 1) dot (1, 1, 1, 1) = (1 + 3 + 3 + 1).
a(5) = 14 = (4 + 5 + 4 + 1).
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CROSSREFS
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Cf. A028387.
Sequence in context: A124853 A084621 A002132 this_sequence A160730 A132425 A154264
Adjacent sequences: A140161 A140162 A140163 this_sequence A140165 A140166 A140167
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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), May 10 2008
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