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Search: id:A137995
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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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+0
2
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OFFSET
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1,1
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COMMENT
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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 decimals of pi and a(3) just differs by 5 from the next 3 decimals !
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PROGRAM
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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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Cf. A137994, A001203, A001672, A138324, A137299, A138324.
Adjacent sequences: A137992 A137993 A137994 this_sequence A137996 A137997 A137998
Sequence in context: A014385 A114485 A061010 this_sequence A121786 A083153 A142163
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KEYWORD
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nonn,more
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AUTHOR
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M. F. Hasler (www.univ-ag.fr/~mhasler), inspired by Leroy Quet (qq-quet(AT)minspring.com), Apr 05 2008
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