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A080246
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Signed version of A035607.
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4
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1, -2, 1, 2, -4, 1, -2, 8, -6, 1, 2, -12, 18, -8, 1, -2, 16, -38, 32, -10, 1, 2, -20, 66, -88, 50, -12, 1, -2, 24, -102, 192, -170, 72, -14, 1, 2, -28, 146, -360, 450, -292, 98, -16, 1, -2, 32, -198, 608, -1002, 912, -462, 128, -18, 1, 2, -36, 258, -952, 1970, -2364
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Written as lower triangular matrix this has inverse A080247. Row sums are (1,-1,-1,1,1,-1,-1,1,1,...) Diagonal sums are signed tribonacci numbers A078042
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REFERENCES
| Heinrich Niederhausen, Inverses of Motzkin and Schroeder Paths, Arxiv preprint arXiv:1105.3713, 2011.
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FORMULA
| Columns are generated by (1-x)^k/(1+x)^k
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EXAMPLE
| Rows are {1}, {-2,1}, {2,-4,1}, {-2,8,-6,1}, ...
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CROSSREFS
| Cf. A035607, A080247.
Sequence in context: A203647 A114791 A129994 * A113413 A125694 A136678
Adjacent sequences: A080243 A080244 A080245 * A080247 A080248 A080249
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 15 2003
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