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 A227717 Decimal expansion of the area of the quartic curve with implicit Cartesian equation x^4 + y^2 = 1 (sometimes called "elliptic lemniscate"). 2
 3, 4, 9, 6, 0, 7, 6, 7, 3, 9, 0, 5, 6, 1, 5, 9, 7, 4, 7, 2, 8, 6, 4, 5, 2, 7, 8, 6, 5, 2, 1, 4, 9, 2, 5, 5, 1, 5, 7, 7, 0, 0, 6, 6, 0, 1, 9, 0, 8, 8, 3, 0, 8, 8, 3, 7, 5, 5, 7, 6, 2, 2, 7, 1, 7, 3, 4, 3, 8, 7, 4, 4, 9, 4, 2, 7, 2, 1, 9, 0, 0, 0, 3, 0, 7, 0, 6, 0, 7, 1, 0, 6, 1, 5, 2, 3, 8, 7, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 Serge Mehl, Lemniscate elliptique [in French]. FORMULA Equals 4*Integral_{0..1} sqrt(1 - x^4). Equals sqrt(Pi)*Gamma(1/4)/(2*Gamma(7/4)). Equals 1/3*sqrt(2/Pi)*Gamma(1/4)^2. - Vaclav Kotesovec, Jul 26 2013 EXAMPLE 3.4960767390561597472864527865214925515770066019088308837557622717343874494272... MATHEMATICA Sqrt[Pi]*Gamma[1/4]/(2*Gamma[7/4]) // RealDigits[#, 10, 100]& // First PROG (PARI) sqrt(2/Pi)*gamma(1/4)^2/3 \\ Michel Marcus, Jul 04 2015 CROSSREFS Cf. A227718 (length). Sequence in context: A140439 A023183 A102320 * A021290 A016656 A319021 Adjacent sequences:  A227714 A227715 A227716 * A227718 A227719 A227720 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Jul 22 2013 STATUS approved

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Last modified April 24 22:26 EDT 2019. Contains 322446 sequences. (Running on oeis4.)