A157296 - OEIS

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A157296

Decimal expansion of 31185/(2*Pi^8).

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; 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 A082020product_p (1+1/p^6) = A082020Zeta(6)/Zeta(12) = 10135125/(691*Pi^8).`
	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) ;`
	CROSSREFS	`Sequence in context: A093604 A011408 A197760 * A155044 A182618 A118227` `Adjacent sequences: A157293 A157294 A157295 * A157297 A157298 A157299`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009`

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Last modified February 14 22:55 EST 2012. Contains 205685 sequences.