A157291 - OEIS

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A157291

Decimal expansion of Zeta(5)/Zeta(10).

1, 0, 3, 5, 8, 9, 7, 4, 7, 7, 2, 7, 7, 5, 0, 0, 2, 2, 4, 3, 9, 4, 4, 9, 8, 5, 8, 7, 4, 5, 6, 0, 9, 5, 6, 8, 4, 2, 4, 7, 8, 8, 4, 2, 5, 6, 0, 7, 6, 8, 9, 4, 8, 0, 8, 2, 2, 4, 6, 6, 5, 4, 2, 3, 7, 4, 4, 6, 6, 9, 2, 5, 6, 1, 2, 4, 0, 3, 3, 7, 4, 1, 8, 9, 3, 2, 1, 5, 9, 8, 8, 3, 9, 3, 9, 0, 6, 8, 0, 1, 1, 4, 6, 3, 0 (list; constant; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`The product_{p= primes = A000040} (1+1/p^5), the fifth power analogue to A082020.`
	FORMULA	`Equals A013663/A013668 = product_{i>=1} (1+1/A050997(i)).`
	EXAMPLE	`1.035897477277500224... = (1+1/2^5)(1+1/3^5)(1+1/5^5)(1+1/7^5)...`
	MAPLE	`evalf(Zeta(5)/Zeta(10)) ;`
	CROSSREFS	`Sequence in context: A139125 A186697 A077523 * A107820 A191931 A064186` `Adjacent sequences: A157288 A157289 A157290 * A157292 A157293 A157294`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009`

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Last modified February 14 10:24 EST 2012. Contains 205614 sequences.