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A375526
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a(n) = denominator of Sum_{i=1..n} 1/A031216(i).
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2
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2, 6, 30, 210, 420, 420, 1260, 126, 3150, 97650, 830025, 6640200, 6640200, 312089400, 312089400, 9050592600, 72404740800, 4851117633600, 354131587252800, 4603710634286400, 4603710634286400, 197959557274315200, 15227658251870400, 1477082850431428800, 78285391072865726400
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The first few fractions are 1/2, 5/6, 31/30, 247/210, 529/420, 559/420, 1747/1260, 181/126, 4651/3150, 147331/97650, 1276726/830025, 10379813/6640200, 10527373/6640200, ...
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MAPLE
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b:= n-> (l-> add(l[i]*11^(i-1), i=1..nops(l)))(convert(ithprime(n), base, 10)):
g:= proc(n) option remember; `if`(n<1, 0, g(n-1)+1/b(n)) end:
a:= n-> denom(g(n)):
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PROG
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(PARI) a(n) = denominator(sum(i=1, n, 1/fromdigits(digits(prime(i)), 11))); \\ Michel Marcus, Aug 31 2024
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CROSSREFS
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KEYWORD
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nonn,frac,new
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AUTHOR
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STATUS
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approved
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