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 A155799 Decimal expansion of the product_{q=3-almost-primes} (q^2-1)/(q^2+1). 1
 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; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The 3-almost-prime analog of A112407. Its logarithm has been computed from -2*sum_{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, Mar 28 2009] FORMULA product_{n=1..infinity} (A014612(n)^2-1)/(A014612(n)^2+1). EXAMPLE 0.92585727... = 63/65*143/145*323/325*399/401*364/365*... CROSSREFS Cf. A112407. Sequence in context: A326924 A328908 A275967 * A021112 A248318 A298852 Adjacent sequences:  A155796 A155797 A155798 * A155800 A155801 A155802 KEYWORD cons,nonn AUTHOR R. J. Mathar, Jan 27 2009 STATUS approved

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Last modified April 13 10:24 EDT 2021. Contains 342935 sequences. (Running on oeis4.)