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Search: id:A103207
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| A103207 |
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a(n)=(-1)^floor(n/2)/det(M_n) where M_n is the n X n matrix of terms 1/(i+j)! i and j ranging from 1 to n. |
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+0 1
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| 1, 2, 144, 1036800, 1463132160000, 668986161758208000000, 148045794139338685651353600000000, 22147346968743318573346465338485637120000000000
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=(1/2^n)*{prod(k=1, n, (2*k)!/k!)}^2
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MAPLE
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seq(mul(mul(k+j, j=1..n), k=0..n), n=0..7); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 01 2007
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PROGRAM
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(PARI) a(n)=(1/2^n)*prod(k=1, n, (2*k)!/k!)^2
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CROSSREFS
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Cf. A062381.
Adjacent sequences: A103204 A103205 A103206 this_sequence A103208 A103209 A103210
Sequence in context: A120814 A115890 A101827 this_sequence A093002 A074319 A071064
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 19 2005
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