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 A014013 Alternating Egyptian fraction expansion of Pi-3. 4
 7, 790, 749896, 1270073831726, 3264508855407706377676178, 18710490702451568752627532846550947209438603938993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The next term has 99 digits. LINKS FORMULA Pi -3 = Sum_{k>=1} (-1)^(k+1)/a(k) = 0.14159...; a(n) = (-1)^(n+1)*u(n) where u(1)=7, u(n) = trunc(1/(Pi - 3 - Sum_{k=1..n-1} 1/u(k))) and trunc(x) = floor(x) if x >= 0, trunc(x) = ceiling(x) if x < 0. EXAMPLE 1/(Pi - 3 - 1/7 + 1/790) = 749896.4427... hence a(3)=749896. CROSSREFS Sequence in context: A020470 A182282 A171245 * A001467 A342836 A338968 Adjacent sequences: A014010 A014011 A014012 * A014014 A014015 A014016 KEYWORD nonn AUTHOR EXTENSIONS Title correction by Stanislav Sykora, May 05 2012 STATUS approved

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Last modified March 22 18:49 EDT 2023. Contains 361433 sequences. (Running on oeis4.)