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A001672 [Pi^n]. +0
19
1, 3, 9, 31, 97, 306, 961, 3020, 9488, 29809, 93648, 294204, 924269, 2903677, 9122171, 28658145, 90032220, 282844563, 888582403, 2791563949, 8769956796, 27551631842, 86556004191, 271923706893 (list; graph; listen)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n=0..300

FORMULA

a(n)^(1/n) converges to pi because |1-a(n)/pi^n|=|pi^n-a(n)|/pi^n<1/pi^n and so a(n)^(1/n)=(pi^n*(1+o(1)))^(1/n)=pi*(1+o(1)). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 22 2006

MATHEMATICA

a[n_]:=Floor[Pi^n]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 12 2008]

CROSSREFS

Sequence in context: A031031 A034550 A018370 this_sequence A138281 A049416 A148959

Adjacent sequences: A001669 A001670 A001671 this_sequence A001673 A001674 A001675

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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