cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A332631 Decimal expansion of arclength between (0,1) and (1,1/e) on y = 1/e^x.

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%I A332631 #6 Jun 14 2020 22:49:16
%S A332631 1,1,9,2,7,0,1,4,0,1,9,7,2,1,5,4,5,9,2,7,7,7,7,9,4,2,1,9,8,1,9,5,0,3,
%T A332631 0,6,4,4,1,8,4,8,8,7,6,8,8,6,6,3,4,8,3,7,5,9,1,9,6,3,7,8,0,8,2,3,5,9,
%U A332631 7,5,6,6,4,5,5,5,5,2,7,8,9,6,4,6,3,4
%N A332631 Decimal expansion of arclength between (0,1) and (1,1/e) on y = 1/e^x.
%F A332631 arclength = sqrt(2) = sqrt(1+ 1/e^2) + arcsinh(e) - arcsinh(1).
%e A332631 arclength = 1.192701401972154592777794219819503064418488768866...
%t A332631 s = Integrate[Sqrt[1 + D[E^(-x), x]^2], {x, 0, 1}]
%t A332631 r = N[s, 200]
%t A332631 RealDigits[r][[1]]
%Y A332631 Cf. A333202, A332629.
%K A332631 nonn,cons,easy
%O A332631 1,3
%A A332631 _Clark Kimberling_, Jun 12 2020