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A093341
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Decimal expansion of "lemniscate case".
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2
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1, 8, 5, 4, 0, 7, 4, 6, 7, 7, 3, 0, 1, 3, 7, 1, 9, 1, 8, 4, 3, 3, 8, 5, 0, 3, 4, 7, 1, 9, 5, 2, 6, 0, 0, 4, 6, 2, 1, 7, 5, 9, 8, 8, 2, 3, 5, 2, 1, 7, 6, 6, 9, 0, 5, 5, 8, 5, 9, 2, 8, 0, 4, 5, 0, 5, 6, 0, 2, 1, 7, 7, 6, 8, 3, 8, 1, 1, 9, 9, 7, 8, 3, 5, 7, 2, 7, 1, 8, 6, 1, 6, 5, 0, 3, 7, 1, 8, 9, 7, 2, 7, 7, 7, 7
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, 9th printing. New York: Dover, 1972, Section 18.14.7, p. 658.
Jonathan Borwein & Peter Borwein, A Dictionary of Real Numbers. Pacific Grove, California: Wadsworth & Brooks/Cole Advanced Books & Software (1990) p. iii
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,5000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Section 18.14.7, p. 658.
Eric Weisstein's World of Mathematics, Lemniscate Case.
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FORMULA
| GAMMA(1/4)^2/(4*(Pi)^(1/2)) - Pab Ter (pabrlos(AT)yahoo.com), May 24 2004
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EXAMPLE
| 1.854074677301371918433850347195260046217598823521766905585928045056021... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 19 2009]
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MATHEMATICA
| RealDigits[ N[ Gamma[1/4]^2 / (4*Sqrt[Pi]), 105]][[1]] (* From Jean-François Alcover, Oct 04 2011 *)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 5080); x=gamma(1/4)^2/(4*(Pi)^(1/2)); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b093341.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 19 2009]
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CROSSREFS
| Cf. A064853, A062539.
Sequence in context: A154509 A081885 A019609 * A134973 A030437 A200290
Adjacent sequences: A093338 A093339 A093340 * A093342 A093343 A093344
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KEYWORD
| cons,nonn
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AUTHOR
| Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 26 2004
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EXTENSIONS
| More terms from Pab Ter (pabrlos(AT)yahoo.com), May 24 2004
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