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Search: id:A055101
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| A055101 |
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Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))). |
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+0
4
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| 1, -2, 3, -2, -1, 4, -6, 6, -3, -2, 9, -16, 17, -10, -5, 24, -36, 36, -21, -10, 46, -74, 77, -42, -22, 94, -144, 142, -78, -38, 172, -266, 266, -146, -73, 312, -471, 464, -251, -122, 534, -814, 801, -432, -213, 910, -1364, 1328, -713, -344, 1485, -2234, 2178
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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For the third power see G. E. Andrews, Simplicity and surprise in Ramanujan's "Lost" Notebook, Amer. Math. Monthly, 104 (No. 10, Dec. 1997), 918-925.
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CROSSREFS
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See A007325 for first power (which has an alternative g.f.), A055102 for cube, A055103 for 4-th power.
Sequence in context: A105789 A076549 A104411 this_sequence A081316 A079893 A113908
Adjacent sequences: A055098 A055099 A055100 this_sequence A055102 A055103 A055104
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jun 14 2000
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EXTENSIONS
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More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 20 2000
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