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Search: id:A058655
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| A058655 |
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Decimal expansion of area under the curve 1/Gamma(x) from zero to infinity. |
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+0
2
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| 2, 8, 0, 7, 7, 7, 0, 2, 4, 2, 0, 2, 8, 5, 1, 9, 3, 6, 5, 2, 2, 1, 5, 0, 1, 1, 8, 6, 5, 5, 7, 7, 7, 2, 9, 3, 2, 3, 0, 8, 0, 8, 5, 9, 2, 0, 9, 3, 0, 1, 9, 8, 2, 9, 1, 2, 2, 0, 0, 5, 4, 8, 0, 9, 5, 9, 7, 1, 0, 0, 8, 8, 9, 1, 2, 1, 9, 0, 1, 6, 6, 5, 5, 1, 0, 1, 8, 5, 3, 0, 8, 1, 6, 8, 1, 9, 6, 6, 3, 8, 1, 4, 1, 8, 7
(list; cons; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1001
S. Plouffe, Fransen-Robibson constant
S. Plouffe, Fransen-Robinson constant
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
Eric Weisstein's World of Mathematics, Fransen-Robinson Constant
F. Johansson, Value to 1000 decimal places.
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EXAMPLE
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Area = 2.8077702420285193652215...
2.807770242028519365221501186557772932308085920930198291220054809597100... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
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MATHEMATICA
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RealDigits[ NIntegrate[ 1 / Gamma[ x ], {x, 0, Infinity}, AccuracyGoal -> 72, WorkingPrecision -> 90 ] ][ [ 1 ] ]
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PROGRAM
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Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), 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=f; for (n=1, 1001, d=floor(x); x=(x-d)*10; write("b058655.txt", n, " ", d)); } (End)
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CROSSREFS
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Cf. A046943 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 13 2009]
Sequence in context: A160584 A011055 A020860 this_sequence A058964 A021360 A028256
Adjacent sequences: A058652 A058653 A058654 this_sequence A058656 A058657 A058658
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KEYWORD
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nonn,cons
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 05 2001
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EXTENSIONS
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More terms from Philip Sung (philip_sung(AT)hotmail.com), Jan 22 2002
Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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