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Search: id:A025585
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| A025585 |
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Central Eulerian numbers A(2n-1, n). |
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+0
1
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| 1, 4, 66, 2416, 156190, 15724248, 2275172004, 447538817472, 114890380658550, 37307713155613000, 14950368791471452636, 7246997577257618116704, 4179647109945703200884716, 2828559673553002161809327536
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 254.
B. Sturmfels, Solving Systems of Polynomial Equations, Amer. Math. Soc., 2002, see p 27 (is that the same sequence?)
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FORMULA
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a(n)=sum((-1)^j*(n-j)^(2n-1)*binomial(2n, j), j=0..n). This is T(2n-1, n), where T(n, k) is given in A008292.
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CROSSREFS
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Cf. A008292.
Sequence in context: A058438 A041119 A015475 this_sequence A048828 A003360 A083931
Adjacent sequences: A025582 A025583 A025584 this_sequence A025586 A025587 A025588
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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