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A144663 Decimal expansion of product_{n=2..infinity} (n^4-1)/(n^4+1). +0
1
8, 4, 8, 0, 5, 4, 0, 4, 9, 3, 5, 2, 9, 0, 0, 3, 9, 2, 1, 2, 9, 6, 5, 0, 1, 8, 3, 4, 0, 5, 0, 0, 7, 7, 0, 5, 8, 4, 7, 9, 8, 7, 4, 8, 6, 8, 8, 4, 7, 1, 7, 6, 6, 6, 4, 3, 0, 6, 9, 6, 4, 5, 3, 8, 0, 6, 6, 1, 3, 5, 7, 2, 8, 5, 5, 5, 5, 4, 4, 1, 2, 7, 1, 3, 6, 7, 6, 6, 3, 7, 6, 7, 3 (list; cons; graph; listen)
OFFSET

0,1

LINKS

J. Borwein et al., Experimentation in Mathematics, 2004, section 1.2.

E. W. Weisstein, Infinite Product, MathWorld.

EXAMPLE

0.8480540493529003921296501834...

MAPLE

Digits := 120 :

m := 1:

for r from 2 to 10 do

omega := cos(Pi/r)+I*sin(Pi/r) :

x := (-1)^(m+1)*2*m*m!/r*mul( GAMMA(-m*omega^j)^(-(-1)^j), j=1..2*r-1) ;

x := Re(evalf(x)) ;

print(r, x) ;

od:

CROSSREFS

Cf. A090986.

Sequence in context: A110233 A019684 A019867 this_sequence A155889 A083948 A021848

Adjacent sequences: A144660 A144661 A144662 this_sequence A144664 A144665 A144666

KEYWORD

nonn,cons

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2009

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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