A103714 - OEIS

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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, 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; internal format)

	OFFSET	`2,2`
	COMMENTS	`Equal to pi times twice its analogue 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	`S. R. Finch, Mathematical Constants, addenda, sec. 8.1` `S. Reese, Pohle Colloquium Video Lecture: The universal parabolic constant, February 2, 2005` `Eric Weisstein's World of Mathematics, Universal Parabolic Constant` `Wikipedia, Universal parabolic constant`
	FORMULA	`2pi(sqrt(2) + ln(1 + sqrt(2))).`
	EXAMPLE	`14.423599448414093929375465539601335358054115235952...`
	CROSSREFS	`Cf. 2A000796A103710. See also A103713.` `Sequence in context: A146899 A031351 A068923 * A193514 A112108 A021230` `Adjacent sequences: A103711 A103712 A103713 * A103715 A103716 A103717`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Sylvester Reese and Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Feb 21 2005`

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Last modified February 15 19:15 EST 2012. Contains 205852 sequences.