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A157295 Decimal expansion of 630/Pi^6. +0
1
6, 5, 5, 3, 0, 1, 7, 2, 8, 1, 7, 6, 3, 8, 6, 9, 4, 6, 5, 3, 6, 5, 9, 7, 7, 0, 9, 9, 9, 5, 9, 4, 9, 4, 2, 1, 9, 6, 7, 4, 8, 1, 0, 1, 0, 6, 5, 7, 7, 3, 7, 8, 8, 7, 2, 2, 9, 1, 6, 0, 2, 6, 9, 9, 5, 7, 0, 0, 1, 6, 9, 4, 2, 2, 9, 7, 9, 1, 6, 1, 6, 5, 3, 9, 3, 2, 6, 3, 6, 9, 8, 5, 2, 1, 9, 6, 9, 4, 7, 7, 0, 2, 7, 6, 5 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

The product_{p= primes = A000040} (1-1/p^2+1/p^4-1/p^6).

FORMULA

Equals A013662/(A013661*A013666) = product_{i>=1} (1-1/A001248(i)+1/A030514(i)-1/A030516(i)) = 630*A092746.

EXAMPLE

0.655301728176386946536... = (1-1/2^2+1/2^4-1/2^6)*(1-1/3^2+1/3^4-1/3^6)*(1-1/5^2+1/5^4-1/5^6)*(1-1/7^2+1/7^4-1/7^6)*...

MAPLE

evalf(630/Pi^6) ;

CROSSREFS

Sequence in context: A019131 A019132 A021862 this_sequence A011485 A084339 A050815

Adjacent sequences: A157292 A157293 A157294 this_sequence A157296 A157297 A157298

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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