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A046943 Continued fraction for Fransen-Robinson constant Integrate[ 1/Gamma[ x ],{x,0,Infinity} ]. 2
2, 1, 4, 4, 1, 18, 5, 1, 3, 4, 1, 5, 3, 6, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 3, 1, 10, 1, 4, 7, 2, 2, 2, 46, 18, 1, 1, 3, 1, 1, 4, 5, 1, 1, 28, 6, 2, 1, 23, 1, 6, 1, 18, 1, 4, 1, 2, 1, 3, 2, 3, 5, 1, 1, 7, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 7, 2, 2, 1, 1, 1, 1, 6, 1, 2, 2, 11, 2, 1, 1, 3, 7, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Fransen, A. ``Accurate Determination of the Inverse Gamma Integral.'' Nordisk Tidskr. Informationsbehandling (BIT) 19, 137-138, 1979.

Fransen, A. Addendum and Corrigendum to `High-Precision Values of the Gamma Function and of Some Related Coefficients'. Math. Comput. 37, 233-235, 1981.

Fransen, A. and Wrigge, S. ``High-Precision Values of the Gamma Function and of Some Related Coefficients.'' Math. Comput. 34, 553-566, 1980.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1033

G. Xiao, Contfrac

Index entries for continued fractions for constants

EXAMPLE

2.80777024202851936522150118655777293...

2.807770242028519365221501186... = 2 + 1/(1 + 1/(4 + 1/(4 + 1/(1 + ...)))) [From Harry J. Smith, May 13 2009]

PROG

Contribution from Harry J. Smith, May 15 2009: (Start)

(PARI) { default(realprecision, 1001); f=2.\

80777024202851936522150118655777293230808592093019\

82912200548095971008891219016655101853081681966381\

41874164342926476786073568347830897012446742487764\

75166754918084993270922005299009444734295206583514\

75152131155061828050485818763476748076712998234216\

34327132839553888361830581061735321115429359987704\

64135432514392951572148266074586666369524680104778\

72991793284962369061528239700415720644566817607490\

71603226910591953899149513854145863769841763959365\

47632286366085545975454441005996183821182960100989\

54046532781368346349281218580789257201387509430585\

35192997422532105588634335685301399184036939202590\

99350291799660081354301028407838108023344832735906\

32429774855934760211566943548864787928991208958463\

99072885121882712617968106530880709565028408797616\

74203651744207567265330712906897445952659092791996\

90675379292813623725670702107340236410076007934085\

77740792122122682547357082386456907834677292642048\

84585197407755243645233762846278966178499939069676\

94929222536030908320851644282133264107446261899116; x=contfrac(f); for (n=1, 1034, write("b046943.txt", n-1, " ", x[n])); } (End)

CROSSREFS

Cf. A058655 = Decimal expansion. [From Harry J. Smith, May 13 2009]

Sequence in context: A200756 A108556 A122440 * A107728 A128250 A086145

Adjacent sequences:  A046940 A046941 A046942 * A046944 A046945 A046946

KEYWORD

cofr,nonn

AUTHOR

Wouter Meeussen

STATUS

approved

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Last modified December 20 08:42 EST 2014. Contains 252241 sequences.