A157293 - OEIS

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A157293

Decimal expansion of Zeta(3)/Zeta(9).

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

	OFFSET	`1,3`
	COMMENTS	`The product_{p= primes = A000040} (1+1/p^3+1/p^6). The product over (1+2/p^3+1/p^6) equals A157289^2.`
	LINKS	`R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514 [math.NT], eq. (23). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 28 2009]`
	FORMULA	`Equals A002117/A013667 = product_{i>=1} (1+1/A030078(i)+1/A030516(i)) .`
	EXAMPLE	`1.19964753964713... = (1+1/2^3+1/2^6)(1+1/3^3+1/3^6)(1+1/5^3+1/5^6)(1+1/7^3+1/7^6)...`
	MAPLE	`evalf(Zeta(3)/Zeta(9)) ;`
	CROSSREFS	`Sequence in context: A021505 A175571 A019894 * A146487 A195790 A085984` `Adjacent sequences: A157290 A157291 A157292 * A157294 A157295 A157296`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 26 2009`

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Last modified February 17 11:46 EST 2012. Contains 206011 sequences.