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A333204
Decimal expansion of arclength from (0,0) to (1,1) on y = x^4.
2
1, 6, 0, 0, 2, 2, 9, 4, 2, 7, 6, 7, 2, 2, 0, 5, 8, 3, 7, 2, 8, 9, 9, 7, 7, 9, 1, 5, 6, 4, 9, 9, 5, 6, 7, 1, 2, 2, 6, 2, 4, 0, 2, 5, 9, 1, 0, 3, 8, 9, 2, 4, 4, 4, 2, 4, 4, 0, 5, 1, 8, 2, 6, 7, 9, 2, 9, 9, 0, 1, 1, 8, 4, 5, 6, 9, 3, 0, 3, 6, 3, 1, 6, 2, 0, 2
OFFSET
1,2
FORMULA
arclength = 2F1(-1/2;1/6;7/6;-16), where 2F1 is the hypergeometric function.
EXAMPLE
arclength = 1.60022942767220583728997791564995...
MATHEMATICA
s = Integrate[Sqrt[1 + 16 x^6], {x, 0, 1}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
Sequence in context: A222118 A267333 A337885 * A186978 A228532 A019956
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved