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A157294 Decimal expansion of 1575/Pi^6. +0
1
1, 6, 3, 8, 2, 5, 4, 3, 2, 0, 4, 4, 0, 9, 6, 7, 3, 6, 6, 3, 4, 1, 4, 9, 4, 2, 7, 4, 9, 8, 9, 8, 7, 3, 5, 5, 4, 9, 1, 8, 7, 0, 2, 5, 2, 6, 6, 4, 4, 3, 4, 4, 7, 1, 8, 0, 7, 2, 9, 0, 0, 6, 7, 4, 8, 9, 2, 5, 0, 4, 2, 3, 5, 5, 7, 4, 4, 7, 9, 0, 4, 1, 3, 4, 8, 3, 1, 5, 9, 2, 4, 6, 3, 0, 4, 9, 2, 3, 6, 9, 2, 5, 6, 9, 1 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

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

FORMULA

Equals A013661/A013666 = A082020*A157290 = product_{i>=1} (1+1/A001248(i)+1/A030514(i)+1/A030516(i)) = 1575*A092746.

EXAMPLE

1.63825432044096736634149427498... = (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(1575/Pi^6) ;

CROSSREFS

Sequence in context: A096253 A115287 A061533 this_sequence A021098 A088246 A086648

Adjacent sequences: A157291 A157292 A157293 this_sequence A157295 A157296 A157297

KEYWORD

cons,easy,nonn

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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