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A086171
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Continued fraction from an irrational number formed by concatenating the primes.
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0
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0, 4, 4, 6, 2, 5, 18, 1, 3, 4, 1, 2, 1, 2, 4, 7, 4, 1, 21, 2, 1, 3, 5, 2, 1, 1, 27, 1, 1, 5, 12, 1, 18, 1, 1, 1, 1, 1, 1, 9, 3, 1, 1, 1, 5, 1, 5, 2, 2, 1, 53, 1, 8, 1, 23, 6, 2, 2, 1, 1, 3, 1, 1, 25, 2, 2, 7, 1, 2, 3, 1, 4, 3, 12, 1, 2, 7, 1, 68, 1, 19, 1, 2, 2, 14, 4, 6, 2, 1, 2, 58, 2, 16, 1, 1, 1, 2, 2, 1
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listen;
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internal format)
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..99.
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FORMULA
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byte[n] =byte[n-1]+Floor[Log[Prime[n-1]]/Log[10]]+1 r=Sum[Prime[n]^10^(-byte[n]), {n, 1, Infinity}]
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EXAMPLE
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r=0.235811317192329313741434753596167717...
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MATHEMATICA
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(* number of powers of ten in the Primes as a sequence*) byte[n_Integer?Positive] := byte[n] =byte[n-1]+Floor[Log[Prime[n-1]]/Log[10]]+1 byte[0]=byte[1] = 1 b=Table[N[Prime[n]*10^(-byte[n]), Digits], {n, 1, Digits}] r=Apply[Plus, b]
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CROSSREFS
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Sequence in context: A205868 A156583 A199280 * A090113 A073821 A155976
Adjacent sequences: A086168 A086169 A086170 * A086172 A086173 A086174
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KEYWORD
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nonn,base,cofr
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AUTHOR
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Roger L. Bagula, Aug 26 2003
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STATUS
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approved
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