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 A271529 Decimal expansion of sqrt(e + e*sqrt(e + e*sqrt(e + ...))). 0
 3, 4, 9, 5, 8, 5, 4, 7, 1, 1, 9, 0, 8, 4, 9, 7, 6, 3, 6, 8, 8, 5, 0, 4, 0, 8, 4, 8, 0, 1, 3, 3, 9, 4, 5, 2, 8, 6, 0, 9, 5, 1, 6, 2, 5, 8, 9, 5, 7, 7, 5, 9, 5, 3, 8, 1, 4, 1, 9, 2, 8, 9, 8, 1, 5, 0, 0, 9, 4, 1, 5, 4, 7, 7, 2, 2, 9, 0, 8, 1, 3, 3, 1, 7, 9, 2, 1, 2, 3, 4, 7, 8, 3, 3, 8, 9, 8, 4, 1, 7, 4, 3, 4, 4, 3, 0, 0, 7, 6, 1, 2, 2, 6, 1, 7, 5, 9, 2, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, e Eric Weisstein's World of Mathematics, Nested Radical FORMULA Equals sqrt(e)*(sqrt(e) + sqrt(e + 4))/2. Equals e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/(e + 1/(1 + 1/...))))))))). EXAMPLE 3.495854711908497636885040848013394528609516258957759538... MATHEMATICA RealDigits[Sqrt[E] ((Sqrt[E] + Sqrt[E + 4])/2), 10, 120][[1]] PROG (PARI) exp(1)/2+sqrt(4*exp(1)+exp(2))/2 \\ Charles R Greathouse IV, Apr 20 2016 (PARI) t=exp(.5); t*(t+sqrt(exp(1)+4))/2 \\ Charles R Greathouse IV, Apr 20 2016 CROSSREFS Cf. A001113, A019774, A100943, A189970, A268580. Sequence in context: A190285 A276521 A247567 * A070154 A183211 A256469 Adjacent sequences:  A271526 A271527 A271528 * A271530 A271531 A271532 KEYWORD nonn,cons AUTHOR Ilya Gutkovskiy, Apr 09 2016 STATUS approved

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Last modified January 18 20:57 EST 2019. Contains 319282 sequences. (Running on oeis4.)