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Search: id:A070557
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| A070557 |
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Number of two-rowed partitions of length 4. |
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+0
4
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| 1, 1, 3, 5, 10, 15, 26, 38, 60, 85, 125, 172, 243, 325, 442, 580, 767, 986, 1275, 1612, 2045, 2548, 3179, 3910, 4812, 5849, 7109, 8554, 10285, 12259, 14599, 17255, 20372, 23895, 27991, 32603, 37925, 43890, 50725, 58361, 67053, 76727
(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.
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FORMULA
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G.f.: 1/((1-x)*((1-x^2)*...*(1-x^m))^2*(1-x^(m+1))) for m = 4.
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MAPLE
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(Maple) a := n -> (Matrix(24, (i, j)-> if (i=j-1) then 1 elif j=1 then [1, 2, 0, -1, -4, -2, 1, 5, 6, 0, -4, -6, -4, 0, 6, 5, 1, -2, -4, -1, 0, 2, 1, -1][i] else 0 fi)^n)[1, 1]; seq (a(n), n=0..41); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
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CROSSREFS
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Cf. A008763, A001993, A070558, A070559.
Sequence in context: A074968 A090491 A126728 this_sequence A132302 A097513 A045513
Adjacent sequences: A070554 A070555 A070556 this_sequence A070558 A070559 A070560
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 07 2002
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