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Search: id:A140139
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| A140139 |
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Binomial transform of [1, 1, 2, -3, 4, -5, 6, -7,...]. |
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+0
2
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| 1, 2, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Apart from initial term, identical to A130773 if offsets are ignored. R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 11 2008
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FORMULA
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A007318 * [1, 1, 2, -3, 4, -5, 6, -7,...]. Sums of antidiagonal terms of the following array: 1, 1, 1, 1, 1,... 1, 3, 5, 7, 9,... 1, 1, 1, 1, 1,...
O.g.f.: x(1+2x^2-x^3)/(1-x)^2. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 11 2008
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EXAMPLE
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a(4) = 7 = (1, 3, 3, 1) dot (1, 1, 2, -3) = (1 + 3 + 6 - 3).
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CROSSREFS
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Sequence in context: A077059 A007300 A007069 this_sequence A130773 A024704 A024510
Adjacent sequences: A140136 A140137 A140138 this_sequence A140140 A140141 A140142
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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 09 2008
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