id:A155799 - OEIS Search Results

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Decimal expansion of the product_{q=3-almost-primes} (q^2-1)/(q^2+1).

+0
2

9, 2, 5, 8, 5, 7, 2, 7, 4, 7, 1, 2, 8, 9, 3, 1, 2, 7, 9, 9, 8, 8, 8, 2, 1, 3, 8, 2, 0, 7, 1, 5, 8, 4, 1, 5, 2, 7, 8, 4, 5, 0, 2, 1, 8, 1, 9, 1, 9, 6, 6, 0, 2, 1, 5, 3, 2, 7, 6, 5, 6, 6, 2, 0, 2, 9, 5, 6, 7, 4, 4, 6, 8, 1, 0, 7, 1, 2, 4, 7, 5, 7, 0, 3, 9, 6, 4, 4, 8, 6, 6, 8, 9 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The 3-almost-prime analog of A112407. Its logarithm has been computed from -2sum_{l=1..infinity} P_3(2(2l-1))/(2l-1) where P_k(s) are the k-almost prime zeta functions of arXiv:0803.0900.`
	LINKS	`R. J. Mathar, Series of reciprocal powers of k-almost primes, arXiv:0803.0900 [math.NT].` `R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514 [math.NT], third line Table 1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 28 2009]`
	FORMULA	`product_{n=1..infinity} (A014612(n)^2-1)/(A014612(n)^2+1).`
	EXAMPLE	`0.92585727... = 63/65143/145323/325399/401364/365*...`
	CROSSREFS	`Cf. A112407.` `Sequence in context: A154838 A082831 A085551 this_sequence A021112 A093066 A155168` `Adjacent sequences: A155796 A155797 A155798 this_sequence A155800 A155801 A155802`
	KEYWORD	`cons,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 27 2009`

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

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