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Search: id:A071077
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| A071077 |
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Number of permutations that avoid the generalized pattern 1234-5. |
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+0 4
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| 1, 1, 2, 6, 24, 119, 705, 4857, 38142, 336291, 3289057, 35337067, 413698248, 5241768017, 71465060725, 1043175024243, 16231998346794, 268207096127991, 4690005160446721, 86528908665043683, 1679764981327051508
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OFFSET
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0,3
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REFERENCES
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S. Kitaev, Partially Ordered Generalized Patterns, Discrete Math. 298 (2005), no. 1-3, 212-229.
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LINKS
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S. Kitaev, Partially Ordered Generalized Patterns
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FORMULA
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E.g.f.: exp(int(A(y), y=0..x)), where A(y) = 1/(sum_{i>= 0}y^{4*i}/(4*i)! - sum_{i>= 0} y^{4*i+1}/(4*i+1)!).
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CROSSREFS
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Cf. A071088, A071075, A071076.
Sequence in context: A047889 A109795 A094198 this_sequence A005395 A092495 A110808
Adjacent sequences: A071074 A071075 A071076 this_sequence A071078 A071079 A071080
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KEYWORD
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nonn
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AUTHOR
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Sergey Kitaev (kitaev(AT)math.chalmers.se), May 26 2002
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic (vladeta(AT)Eunet.yu), May 28 2002
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