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A305289 Powers of 2*Pi, rounded to the nearest integer. 0

%I #28 Aug 12 2021 17:36:17

%S 1,6,39,248,1559,9793,61529,386598,2429064,15262259,95895601,

%T 602529829,3785806568,23786924201,149457652642,939070127125,

%U 5900351625162,37073002638414,232936545470713,1463583480006755,9195966217409213,57779959822545404,363042194606444109,2281061383037441740

%N Powers of 2*Pi, rounded to the nearest integer.

%H <a href="/index/Pow#POWERS">Index entries of sequences related to powers of irrational constants</a>.

%F a(n) = round((2 Pi)^n) = A001675(2*n) >= A001674(2n).

%t Round[(2Pi)^Range[0,30]] (* _Harvey P. Dale_, Aug 12 2021 *)

%o (PARI) apply( a(n)=(2*Pi)^n\/1, [0..40])

%Y Cf. A001674 (floor(sqrt(2 Pi)^n)), A001675 (round sqrt(2 Pi)^n), A001698 (ceiling sqrt(2 Pi)^n), A017911 (round sqrt(2)^n), A000227 (round e^n), A002160 (round Pi^n).

%K nonn

%O 0,2

%A _M. F. Hasler_, May 29 2018

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Last modified April 24 13:24 EDT 2024. Contains 371955 sequences. (Running on oeis4.)