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A137995 Nearest integer to 1/frac(Pi^A137994(n)), where frac(x) = x - floor(x). 1
7, 159, 270, 308, 745, 758, 1080, 1227, 7805 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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!

LINKS

Table of n, a(n) for n=1..9.

PROG

(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), ", "))

CROSSREFS

Cf. A137994, A001203, A001672, A137299, A138324.

Sequence in context: A061010 A153714 A153713 * A177779 A177469 A121786

Adjacent sequences:  A137992 A137993 A137994 * A137996 A137997 A137998

KEYWORD

nonn,more

AUTHOR

M. F. Hasler, inspired by Leroy Quet, Apr 05 2008

STATUS

approved

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Last modified June 13 22:55 EDT 2021. Contains 345016 sequences. (Running on oeis4.)