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A103207 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. +0
1
1, 2, 144, 1036800, 1463132160000, 668986161758208000000, 148045794139338685651353600000000, 22147346968743318573346465338485637120000000000 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=(1/2^n)*{prod(k=1, n, (2*k)!/k!)}^2

MAPLE

seq(mul(mul(k+j, j=1..n), k=0..n), n=0..7); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 01 2007

PROGRAM

(PARI) a(n)=(1/2^n)*prod(k=1, n, (2*k)!/k!)^2

CROSSREFS

Cf. A062381.

Adjacent sequences: A103204 A103205 A103206 this_sequence A103208 A103209 A103210

Sequence in context: A120814 A115890 A101827 this_sequence A093002 A074319 A071064

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 19 2005

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.


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