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A332630
Decimal expansion of arclength between (0,1) and (1,2) on y = 2^x.
2
1, 4, 2, 1, 1, 6, 2, 4, 3, 7, 4, 3, 5, 2, 4, 5, 1, 8, 7, 7, 2, 7, 4, 6, 5, 5, 3, 6, 7, 9, 7, 2, 6, 1, 2, 9, 3, 0, 1, 3, 3, 9, 7, 8, 9, 5, 3, 4, 5, 7, 3, 9, 8, 6, 3, 0, 1, 4, 1, 0, 2, 2, 9, 0, 0, 4, 7, 9, 8, 2, 5, 3, 3, 0, 0, 8, 6, 3, 7, 3, 7, 3, 5, 0, 6, 0
OFFSET
1,2
EXAMPLE
arclength = 1.42116243743524518772746553679726129301339...
MATHEMATICA
s = Integrate[Sqrt[1 + D[2^x, x]^2], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
Sequence in context: A051758 A051568 A016509 * A277646 A337271 A010313
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved