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A137995
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Nearest integer to 1/frac(Pi^A137994(n)), where frac(x) = x - floor(x).
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1
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OFFSET
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1,1
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COMMENTS
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Sequence A137994 could be defined as "least positive integer such that this one (without rounding) is increasing".
The term a(1)=7 is not surprising (3 + 1/7 = 3.14...) but it comes as a funny surprise that the next term, a(2)=159, matches the next 3 digits of Pi and a(3) just differs by 5 from the next 3 digits!
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LINKS
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PROG
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(PARI) default(realprecision, 10^4); f=1; for(i=1, 10^9, frac(Pi^i)<f || next; f=frac(Pi^i); print1(round(1/f), ", "))
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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