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 A199743 Rounded near-integers (exp(Pi*sqrt(h)) - 744)^(1/3) where h is A003173(n+3) (Heegner numbers of the form 4p-1 where p is prime). 3
 15, 32, 96, 960, 5280, 640320 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = (-j((1 + i*sqrt(h(n))) / 2))^(1/3) where h(n) = A003173(n+3) and j(x) is the j-invariant. - Andrey Zabolotskiy, Sep 30 2021 EXAMPLE a(1) = 15 because 15^3 + 744 ~ exp(Pi*sqrt(7)). a(2) = 32 because 32^3 + 744 ~ exp(Pi*sqrt(11)). a(3) = 96 because 96^3 + 744 ~ exp(Pi*sqrt(19)). a(4) = 960 because 960^3 + 744 ~ exp(Pi*sqrt(43)). a(5) = 5280 because 5280^3 + 744 ~ exp(Pi*sqrt(67)). a(6) = 640320 because 640320^3 + 744 ~ exp(Pi*sqrt(163)). CROSSREFS Cf. A003173, A305500. A267195 is a supersequence (negated). Sequence in context: A055809 A112147 A007256 * A331551 A180815 A336625 Adjacent sequences: A199740 A199741 A199742 * A199744 A199745 A199746 KEYWORD nonn,fini,full AUTHOR Artur Jasinski, Nov 09 2011 STATUS approved

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Last modified March 22 01:15 EDT 2023. Contains 361413 sequences. (Running on oeis4.)