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A049194
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Number of digits in n-th term of A001387.
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3
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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; internal format)
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OFFSET
| 1,2
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REFERENCES
| Peter A. Hendriks, "A binary variant of Conway's audioactive sequence", lecture at 1192nd meeting of WWWW, Groningen, The Netherlands (Jul 15 1999).
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LINKS
| T. Sillke, The binary form of Conway's sequence
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FORMULA
| \left({8\over 9}+{1\over 18}\sqrt[ 3 ]{748-36\sqrt{93}} + {1\over 18}\sqrt[ 3 ]{748+36\sqrt{93}} \right)\times \left({1\over 3}+{1\over 6}\sqrt[ 3 ]{116-12\sqrt{93}}+{1\over 6}\sqrt[ 3 ]{116+12\sqrt{93}}\right)^{\textstyle 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.
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CROSSREFS
| Cf. A001387.
Sequence in context: A111242 A133582 A085642 * A058298 A101136 A036957
Adjacent sequences: A049191 A049192 A049193 * A049195 A049196 A049197
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KEYWORD
| base,easy,nonn
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com).
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EXTENSIONS
| More terms and formulae supplied by Gerton Lunter (gerton(AT)math.rug.nl)
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