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Search: id:A028341
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| A028341 |
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Coefficient of x^4 in expansion of (x+1)(x+3)...(x+2n-1). |
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+0
4
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| 1, 25, 505, 10045, 208054, 4574934, 107494190, 2702025590, 72578259391, 2078757113719, 63324503917311, 2046225352864875, 69953125893139644, 2523698606200763196, 95853765344939263692, 3824294822931302783964
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OFFSET
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4,2
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FORMULA
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sum[(-1)^(k+1-i) 2^(n-1) binomial(i-1, k) s1(n, i), i=k+1..n] with k = 4, where s1(n, i) are unsigned Stirling numbers of the first kind - Victor Adamchik (adamchik(AT)ux10.sp.cs.cmu.edu), Jan 23, 2001
E.g.f.: 1/384*(1-2*x)^(-1/2)*ln(1-2*x)^4. - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 19 2003
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CROSSREFS
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Cf. A028338, A004041, A028339, A028340.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009: (Start)
Equals fifth left hand column of A161198 triangle divided by 16.
(End)
Sequence in context: A059946 A118445 A000497 this_sequence A144942 A122140 A083191
Adjacent sequences: A028338 A028339 A028340 this_sequence A028342 A028343 A028344
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KEYWORD
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nonn
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AUTHOR
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R. W. Gosper
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