id:A157293 - OEIS Search Results

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

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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; cons; graph; listen)

	OFFSET	`1,3`
	COMMENT	`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: A144668 A021505 A019894 this_sequence A146487 A085984 A157245` `Adjacent sequences: A157290 A157291 A157292 this_sequence 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 December 1 19:22 EST 2009. Contains 167811 sequences.

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