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Search: id:A001993
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| A001993 |
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Number of two-rowed partitions of length 3. (Formerly M2452 N0973)
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+0 6
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| 1, 1, 3, 5, 9, 13, 22, 30, 45, 61, 85, 111, 150, 190, 247, 309, 390, 478, 593, 715, 870, 1038, 1243, 1465, 1735, 2023, 2368, 2740, 3175, 3643, 4189, 4771, 5443, 6163, 6982, 7858, 8852, 9908, 11098, 12366, 13780, 15284, 16958, 18730, 20692, 22772, 25058
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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G. E. Andrews, MacMahon's Partition Analysis II: Fundamental Theorems, Annals Combinatorics, 4 (2000), 327-338.
A. Cayley, Calculation of the minimum N.G.F. of the binary seventhic, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 10, p. 408-419.
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FORMULA
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G.f.: 1/((1-x)*(1-x^2)^2*(1-x^3)^2*(1-x^4)).
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CROSSREFS
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Sequence in context: A049691 A136252 A052282 this_sequence A133033 A134672 A082874
Adjacent sequences: A001990 A001991 A001992 this_sequence A001994 A001995 A001996
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 09 2000
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