login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A001675
a(n) = round(sqrt( 2*Pi )^n).
3
1, 3, 6, 16, 39, 99, 248, 622, 1559, 3907, 9793, 24546, 61529, 154230, 386598, 969056, 2429064, 6088760, 15262259, 38256810, 95895601, 240374624, 602529829, 1510318305, 3785806568, 9489609784, 23786924201, 59624976768, 149457652642, 374634777972
OFFSET
0,2
MATHEMATICA
Table[Floor[Sqrt[2*Pi]^n + 1/2], {n, 0, 50}] (* T. D. Noe, Aug 09 2012 *)
Round[(Sqrt[2*Pi])^Range[0, 30] ] (* Harvey P. Dale, Jun 05 2018 *)
PROG
(PARI) apply( a(n)=(2*Pi)^(n/2)\/1, [0..40]) \\ M. F. Hasler, May 29 2018
CROSSREFS
Cf. A001674 (floor sqrt(2 Pi)^n), A001698 (ceiling sqrt(2 Pi)^n).
Cf. A017911 (round sqrt(2)), A000227 (round e^n), A002160 (round Pi^n).
Sequence in context: A073079 A143560 A279685 * A248091 A168317 A188442
KEYWORD
nonn
STATUS
approved