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A103713 Decimal expansion of the area of the surface generated by revolving about the y-axis that part of the curve y = ln x lying in the 4th quadrant. +0
2
7, 2, 1, 1, 7, 9, 9, 7, 2, 4, 2, 0, 7, 0, 4, 6, 9, 6, 4, 6, 8, 7, 7, 3, 2, 7, 6, 9, 8, 0, 0, 6, 6, 7, 6, 7, 9, 0, 2, 7, 0, 5, 7, 6, 1, 7, 9, 7, 6, 0, 5, 0, 0, 6, 4, 6, 0, 8, 8, 2, 6, 7, 4, 6, 1, 3, 1, 3, 0, 3, 6, 4, 8, 6, 1, 0, 9, 7, 6, 9, 6, 5, 1, 4, 6, 2, 1, 9, 2, 1, 0, 9, 7, 7, 6, 9, 8, 2, 9, 3, 2, 9, 9, 3, 4 (list; cons; graph; listen)
OFFSET

1,1

COMMENT

Equal to pi times 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

Eric Weisstein's World of Mathematics, Universal Parabolic Constant

FORMULA

pi*(sqrt(2) + ln(1 + sqrt(2))).

EXAMPLE

7.2117997242070469646877327698006676790270576179761...

CROSSREFS

Cf. A000796*A103710. See also A103714.

Sequence in context: A020844 A001204 A021585 this_sequence A089129 A100957 A133362

Adjacent sequences: A103710 A103711 A103712 this_sequence A103714 A103715 A103716

KEYWORD

cons,easy,nonn

AUTHOR

Sylvester Reese and Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Feb 21 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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