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A070559
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Number of two-rowed partitions of length 6.
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3
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1, 1, 3, 5, 10, 16, 29, 44, 72, 108, 166, 241, 357, 504, 720, 998, 1386, 1882, 2559, 3413, 4551, 5981, 7842, 10162, 13138, 16811, 21454, 27150, 34251, 42898, 53570, 66464, 82221, 101146, 124057, 151404, 184261, 223235, 269723, 324578
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| G. E. Andrews, MacMahon's Partition Analysis II: Fundamental Theorems, Annals Combinatorics, 4 (2000), 327-338.
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FORMULA
| G.f.: 1/((1-x)*((1-x^2)*...*(1-x^m))^2*(1-x^(m+1))) for m = 6.
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MAPLE
| (Maple) a := n -> (Matrix(48, (i, j)-> if (i=j-1) then 1 elif j=1 then [1, 2, 0, -1, -3, -1, -2, 0, 5, 6, 5, 1, -5, -11, -9, -7, 2, 9, 15, 16, 4, -5, -13, -16, -13, -5, 4, 16, 15, 9, 2, -7, -9, -11, -5, 1, 5, 6, 5, 0, -2, -1, -3, -1, 0, 2, 1, -1][i] else 0 fi)^n)[1, 1]; seq (a(n), n=0..39); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
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CROSSREFS
| Cf. A008763, A001993, A070557, A070558.
Sequence in context: A184800 A032279 A070558 * A000990 A129361 A062773
Adjacent sequences: A070556 A070557 A070558 * A070560 A070561 A070562
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 07 2002
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