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A103714 Decimal expansion of the area of the surface generated by revolving one arch of the cosine curve about the x-axis. 1
1, 4, 4, 2, 3, 5, 9, 9, 4, 4, 8, 4, 1, 4, 0, 9, 3, 9, 2, 9, 3, 7, 5, 4, 6, 5, 5, 3, 9, 6, 0, 1, 3, 3, 5, 3, 5, 8, 0, 5, 4, 1, 1, 5, 2, 3, 5, 9, 5, 2, 1, 0, 0, 1, 2, 9, 2, 1, 7, 6, 5, 3, 4, 9, 2, 2, 6, 2, 6, 0, 7, 2, 9, 7, 2, 2, 1, 9, 5, 3, 9, 3, 0, 2, 9, 2, 4, 3, 8, 4, 2, 1, 9, 5, 5, 3, 9, 6, 5, 8, 6, 5, 9, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Equal to Pi times twice its analog for the parabola (see A103710).

REFERENCES

C. E. Love, Differential and Integral Calculus, 4th ed., Macmillan, 1950, p. 288.

S. Reese, A universal parabolic constant, 2004, preprint.

LINKS

Table of n, a(n) for n=2..106.

S. R. Finch, Mathematical Constants, addenda, sec. 8.1

S. Reese, Pohle Colloquium Video Lecture: The universal parabolic constant, February 2, 2005

S. Reese and J. Sondow, MathWorld: Universal Parabolic Constant

Wikipedia, Universal parabolic constant

FORMULA

2*Pi*(sqrt(2) + log(1 + sqrt(2))).

EXAMPLE

14.423599448414093929375465539601335358054115235952...

CROSSREFS

Cf. 2*A000796*A103710. See also A103713.

Sequence in context: A031351 A068923 A222295 * A260486 A193514 A112108

Adjacent sequences:  A103711 A103712 A103713 * A103715 A103716 A103717

KEYWORD

cons,easy,nonn

AUTHOR

Sylvester Reese and Jonathan Sondow, Feb 21 2005

STATUS

approved

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Last modified July 28 19:33 EDT 2021. Contains 346335 sequences. (Running on oeis4.)