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A144663
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Decimal expansion of product_{n=2..infinity} (n^4-1)/(n^4+1).
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1
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| J. Borwein et al., Experimentation in Mathematics, 2004, section 1.2.
E. W. Weisstein, Infinite Product, MathWorld.
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EXAMPLE
| 0.8480540493529003921296501834...
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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:
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CROSSREFS
| Cf. A090986.
Sequence in context: A179260 A019684 A019867 * A197260 A155889 A199266
Adjacent sequences: A144660 A144661 A144662 * A144664 A144665 A144666
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KEYWORD
| nonn,cons
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2009
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