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A157296 Decimal expansion of 31185/(2*Pi^8). 0
1, 6, 4, 3, 2, 9, 9, 6, 8, 1, 8, 5, 7, 0, 9, 9, 9, 9, 2, 2, 7, 7, 4, 8, 0, 1, 8, 0, 1, 2, 9, 1, 4, 9, 7, 8, 4, 6, 0, 8, 2, 8, 7, 5, 8, 4, 4, 5, 7, 2, 3, 5, 0, 9, 8, 5, 9, 5, 8, 3, 4, 5, 0, 5, 1, 6, 4, 3, 2, 8, 6, 4, 8, 1, 2, 4, 5, 5, 1, 7, 4, 9, 5, 3, 7, 5, 1, 3, 7, 4, 2, 3, 7, 6, 5, 4, 9, 2, 9, 5, 6, 5, 8, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The product_{p= primes = A000040} (1+1/p^2+1/p^4+1/p^6+1/p^8). The variant product_{p} (1+1/p^2+1/p^6+1/p^8) equals A082020*product_p (1+1/p^6) = A082020*Zeta(6)/Zeta(12) = 10135125/(691*Pi^8).

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals A013661/A013668 = product_{i>=1} (1+1/A001248(i)+1/A030514(i)+1/A030516(i)+1/A030514(i)^2) = 15592.5*A092748.

EXAMPLE

1.64329968185709999227... = (1+1/2^2+1/2^4+1/2^6+1/2^8)*(1+1/3^2+1/3^4+1/3^6+1/3^8)*(1+1/5^2+1/5^4+1/5^6+1/5^8)*...

MAPLE

evalf(31185/2/Pi^8) ;

MATHEMATICA

RealDigits[31185/(2*Pi^8), 10, 120][[1]] (* Harvey P. Dale, Mar 30 2018 *)

CROSSREFS

Sequence in context: A011408 A197760 A217290 * A329081 A155044 A245634

Adjacent sequences:  A157293 A157294 A157295 * A157297 A157298 A157299

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar, Feb 26 2009

STATUS

approved

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Last modified December 11 18:34 EST 2019. Contains 329925 sequences. (Running on oeis4.)