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 A014967 Continued fraction for Conway's constant. 2
 1, 3, 3, 2, 2, 54, 5, 2, 1, 16, 1, 30, 1, 1, 1, 2, 2, 1, 14, 1, 6, 24, 107, 5, 1, 1, 26, 2, 41, 10, 1, 1, 5, 17, 5, 1, 8, 3, 94, 38, 1, 18, 1, 1, 2, 1, 64, 18, 1, 6, 1, 2, 2, 1, 23, 1, 4, 4, 1, 1, 3, 4, 1, 10, 1, 28, 4, 12, 1, 1238, 13, 1, 1, 58, 1, 2, 4, 1, 3, 7, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES 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. LINKS Harry J. Smith, Table of n, a(n) for n = 0..20000 G. Xiao, Contfrac Eric Weisstein's World of Mathematics, Conways Constant EXAMPLE 1.303577269034296391257099112... = 1 + 1/(3 + 1/(3 + 1/(2 + 1/(2 + ...)))) [From Harry J. Smith, May 12 2009] MATHEMATICA terms = 201; ContinuedFraction[x /. FindRoot[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, {x, 1.3}, WorkingPrecision -> 1.3*terms], terms] PROG Contribution from Harry J. Smith, May 15 2009: (Start) (PARI) { allocatemem(932245000); default(realprecision, 21000); 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); c=contfrac(r); for (n=1, 20001, write("b014967.txt", n-1, " ", c[n])); } (End) CROSSREFS Cf. A005150, A014715, A014715 (decimal expansion). Sequence in context: A319297 A309569 A292600 * A210851 A120992 A129979 Adjacent sequences:  A014964 A014965 A014966 * A014968 A014969 A014970 KEYWORD cofr,nonn AUTHOR EXTENSIONS More terms from Hans Havermann, Feb 15 2001 Deleted old PARI program Harry J. Smith, May 19 2009 STATUS approved

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Last modified February 28 04:39 EST 2020. Contains 332321 sequences. (Running on oeis4.)