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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..86.

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

Cf. A333202, A333203.

Sequence in context: A222118 A267333 A337885 * A186978 A228532 A019956

Adjacent sequences:  A333201 A333202 A333203 * A333205 A333206 A333207

KEYWORD

nonn,cons,easy

AUTHOR

Clark Kimberling, Jun 12 2020

STATUS

approved

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Last modified September 26 03:19 EDT 2021. Contains 347664 sequences. (Running on oeis4.)