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A140925
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Binomial(m+n-1,n)^2-binomial(m+n,n+1)*binomial(m+n-2,n-1) with m=12.
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4
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1, 66, 1716, 26026, 273273, 2186184, 14158144, 77364144, 367479684, 1551580888, 5924217936, 20734762776, 67255063876, 203982391536, 582806832960, 1578435172600, 4073755482225, 10064572367850, 23896002230100, 54709268263650, 121141951155225, 260114319363600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Number of 2 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 2,10,n can be permuted, see formula.
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REFERENCES
| S. Mukai, An Introduction to Invariants and Moduli, Cambridge, 2003; Prop. 8.4, case n=12. - N. J. A. Sloane, Aug 28 2010.
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FORMULA
| (Empirical) set p,q,r to n,10,2 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))
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CROSSREFS
| Sequence in context: A104673 A133318 A197645 * A017782 A035728 A114252
Adjacent sequences: A140922 A140923 A140924 * A140926 A140927 A140928
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KEYWORD
| nonn
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AUTHOR
| R. H. Hardin rhh(at)cadence.com, Jul 05 2008
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EXTENSIONS
| Edited by N. J. A. Sloane, Aug 28 2010.
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