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 A049194 Number of digits in n-th term of A001387. 3
 1, 2, 3, 6, 8, 12, 18, 27, 39, 58, 85, 125, 183, 269, 394, 578, 847, 1242, 1820, 2668, 3910, 5731, 8399, 12310, 18041, 26441, 38751, 56793, 83234, 121986, 178779, 262014, 384000, 562780, 824794, 1208795, 1771575, 2596370, 3805165, 5576741 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Peter A. Hendriks, "A binary variant of Conway's audioactive sequence", lecture at 1192nd meeting of WWWW, Groningen, The Netherlands (Jul 15 1999). LINKS T. Sillke, The binary form of Conway's sequence FORMULA a(n) = (8/9 + (1/18)*(748 - 36*sqrt(93))^(1/3) + (1/18)*(748 + 36*sqrt(93))^(1/3)) * (1/3 + (1/6)*(116 - 12*sqrt(93))^(1/3) + (1/6)*(116 + 12*sqrt(93))^(1/3))^n The number of digits is equal to c*l^n rounded down to the nearest integer, where c and l are the real roots of 3x^3-8x^2+5x-1 and x^3-x^2-1 respectively, for all n except n=2 and n=3. MATHEMATICA CoefficientList[Series[(1+x+x^3-x^4-x^5)/(1-x-x^2+x^5), {x, 0, 50}], x] (* Peter J. C. Moses, Jun 21 2013 *) PROG (PARI) a(n) = if (n==3, 3, if (n==4, 6, floor((8/9 + (1/18)*(748 - 36*sqrt(93))^(1/3) + (1/18)*(748 + 36*sqrt(93))^(1/3)) * (1/3 + (1/6)*(116 - 12*sqrt(93))^(1/3) + (1/6)*(116 + 12*sqrt(93))^(1/3))^(n-1)))) \\ Michel Marcus, Mar 04 2013 CROSSREFS Cf. A001387. Sequence in context: A133582 A085642 A270738 * A058298 A299758 A303703 Adjacent sequences:  A049191 A049192 A049193 * A049195 A049196 A049197 KEYWORD base,easy,nonn AUTHOR EXTENSIONS More terms and formulas supplied by Gerton Lunter (gerton(AT)math.rug.nl) STATUS approved

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Last modified April 20 03:36 EDT 2019. Contains 322294 sequences. (Running on oeis4.)