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

1, 6, 39, 248, 1559, 9793, 61529, 386598, 2429064, 15262259, 95895601, 602529829, 3785806568, 23786924201, 149457652642, 939070127125, 5900351625162, 37073002638414, 232936545470713, 1463583480006755, 9195966217409213, 57779959822545404, 363042194606444109, 2281061383037441740

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Index entries of sequences related to powers of irrational constants.

Formula

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

Mathematica

Round[(2Pi)^Range[0, 30]] (* Harvey P. Dale, Aug 12 2021 *)

Prog

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

Crossrefs

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).

Sequence in context: A037592 A037683 A145664 * A090018 A238809 A006256

Adjacent sequences: A305286 A305287 A305288 * A305290 A305291 A305292

Keyword

nonn

Author

M. F. Hasler, May 29 2018

Status

approved