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A070558
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Number of two-rowed partitions of length 5.
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3
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1, 1, 3, 5, 10, 16, 28, 42, 68, 100, 151, 215, 312, 432, 605, 821, 1117, 1485, 1977, 2581, 3371, 4335, 5566, 7060, 8938, 11196, 13994, 17338, 21426, 26280, 32152, 39074, 47369, 57093, 68637, 82097, 97955, 116339, 137849, 162665, 191507
(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 = 5.
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MAPLE
| (Maple) a := n -> (Matrix(35, (i, j)-> if (i=j-1) then 1 elif j=1 then [1, 2, 0, -1, -3, -2, -2, 3, 7, 5, 1, -4, -8, -11, -1, 5, 9, 9, 5, -1, -11, -8, -4, 1, 5, 7, 3, -2, -2, -3, -1, 0, 2, 1, -1][i] else 0 fi)^n)[1, 1]; seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
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CROSSREFS
| Cf. A008763, A001993, A070557, A070559.
Sequence in context: A037246 A184800 A032279 * A070559 A000990 A129361
Adjacent sequences: A070555 A070556 A070557 * A070559 A070560 A070561
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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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