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Search: id:A014715
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| A014715 |
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Decimal expansion of Conway's constant. |
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+0
4
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| 1, 3, 0, 3, 5, 7, 7, 2, 6, 9, 0, 3, 4, 2, 9, 6, 3, 9, 1, 2, 5, 7, 0, 9, 9, 1, 1, 2, 1, 5, 2, 5, 5, 1, 8, 9, 0, 7, 3, 0, 7, 0, 2, 5, 0, 4, 6, 5, 9, 4, 0, 4, 8, 7, 5, 7, 5, 4, 8, 6, 1, 3, 9, 0, 6, 2, 8, 5, 5, 0, 8, 8, 7, 8, 5, 2, 4, 6, 1, 5, 5, 7, 1, 2, 6, 8, 1, 5, 7, 6, 6, 8, 6, 4, 4, 2, 5, 2, 2, 5, 5, 5
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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J. H. Conway, The weird and wonderful chemistry of audioactive decay, in T. M. Cover and Gopinath, eds., Open Problems in Communication and Computation, Springer, NY 1987, pp. 173-188.
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 452-455.
I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 4.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
S. R. Finch, Conway's Constant
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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1.3032901718138379...
1.303577269034296391257099112152551890730702504659404875754861390628550... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]
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MATHEMATICA
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First[RealDigits[Replace[x, First[Last[NSolve[{0==x^(71)-x^(69)-2x^(68)-x^(67)+2x^(66)+2x^(65)+x^(64)-x^(63)\ -x^(62)-x^(61)-x^(60)-x^(59)+ 2x^(58)+5x^(57)+3x^(56)-2x^(55)-10x^(54)-3x^(53)-2x^(52)+6x^(51)+6x^(50)+x^(49)+\ 9x^(48)-3x^(47)- 7x^(46)-8x^(45)-8x^(44)+10x^(43)+6x^(42)+8x^(41)-5x^(40)-12x^(39)+7x^(38)-7x^(37\ )+7x^(36)+x^(35)- 3x^(34)+10x^(33)+x^(32)-6x^(31)-2x^(30)-10x^(29)-3x^(28)+2x^(27)+9x^(26)-3x^(25)\ +14x^(24)-8x^(23)- 7x^(21)+9x^(20)+3x^(19)-4x^(18)-10x^(17)-7x^(16)+12x^(15)+7x^(14)+2x^(13)-12x^(1\ 2)-4x^(11)- 2x^(10)+5x^9+x^7-7x^6+7x^5-4x^4+12x^3-6x^2+3x-6}, {x}, 100]]]]]] - Ryan Propper (rpropper(AT)stanford.edu), Jul 29 2005
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PROGRAM
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Contribution from Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 2009: (Start)
(PARI) { allocatemem(932245000); default(realprecision, 20080); x=NULL; r=solve(x=1, 2, \
x^71-x^69-2*x^68-x^67+2*x^66+2*x^65+x^64-x^63-x^62-x^61-x^60\
-x^59+2*x^58+5*x^57+3*x^56-2*x^55-10*x^54-3*x^53-2*x^52+6*x^51\
+6*x^50+x^49+9*x^48-3*x^47-7*x^46-8*x^45-8*x^44+10*x^43+6*x^42\
+8*x^41-5*x^40-12*x^39+7*x^38-7*x^37+7*x^36+x^35-3*x^34+10*x^33\
+x^32-6*x^31-2*x^30-10*x^29-3*x^28+2*x^27+9*x^26-3*x^25+14*x^24\
-8*x^23-7*x^21+9*x^20+3*x^19-4*x^18-10*x^17-7*x^16+12*x^15\
+7*x^14+2*x^13-12*x^12-4*x^11-2*x^10+5*x^9+x^7-7*x^6+7*x^5\
-4*x^4+12*x^3-6*x^2+3*x-6); for (n=1, 20000, d=floor(r); r=(r-d)*10; write("b014715.txt", n, " ", d)); } (End)
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CROSSREFS
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Cf. A014967.
Cf. A014967 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]
Sequence in context: A060858 A127749 A138188 this_sequence A131656 A120987 A011076
Adjacent sequences: A014712 A014713 A014714 this_sequence A014716 A014717 A014718
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KEYWORD
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nonn,cons
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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More terms from Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2003
Fixed my PARI program, had -n. Removed an old PARI program Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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