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Search: id:A025167
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| A025167 |
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E.g.f: exp(x/(1-2*x))/(1-2*x). |
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+0
5
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| 1, 3, 17, 139, 1473, 19091, 291793, 5129307, 101817089, 2250495523, 54780588561, 1455367098923, 41888448785857, 1298019439099059, 43074477771208913, 1523746948247663611, 57229027745514785793, 2274027983943883110467
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Polynomials in A021009 evaluated at -2.
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FORMULA
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Sum_{k=0..n} k!*3^k*C(n, k) (from Robert G. Wilson v Mar 16 2005)
a(n) = Sum_{k=0..n-1} 2^{n-1-k}*[(n-1)! ]^2/[(k!)^2*(n-1-k)! ] - Huajun Huang (huanghu(AT)auburn.edu), Oct 10 2005
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MATHEMATICA
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Table[ n! 2^n LaguerreL[ n, -1/2 ], {n, 0, 12} ]
f[n_] := Sum[k!*2^k*Binomial[n, k]^2, {k, 0, n}]; Table[ f[n], {n, 0, 17}] (from Robert G. Wilson v Mar 16 2005)
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CROSSREFS
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Cf. A025166, A025168.
Sequence in context: A105630 A006290 A060003 this_sequence A136727 A120022 A001865
Adjacent sequences: A025164 A025165 A025166 this_sequence A025168 A025169 A025170
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KEYWORD
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nonn
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AUTHOR
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w.meeussen (wouter.meeussen(AT)pandora.be)
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 29 2003
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