The On-Line Encyclopedia of Integer Sequences (OEIS)

A103714 revision #29

A103714

Decimal expansion of the area of the surface generated by revolving one arch of the cosine curve about the x-axis.

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

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OFFSET

2,2

COMMENTS

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

REFERENCES

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

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

LINKS

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

Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020-2022, sec. 8.1.

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