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A017984
Powers of cube root of 3 rounded up.
22
1, 2, 3, 3, 5, 7, 9, 13, 19, 27, 39, 57, 81, 117, 169, 243, 351, 506, 729, 1052, 1517, 2187, 3155, 4550, 6561, 9463, 13648, 19683, 28388, 40943, 59049, 85164, 122827, 177147, 255491, 368481, 531441, 766471, 1105442, 1594323, 2299412, 3316326, 4782969, 6898235
OFFSET
0,2
COMMENTS
Smallest integer such that a(n)^k-k^n is nonnegative for all nonnegative integers k. - Henry Bottomley, May 16 2005
LINKS
MATHEMATICA
Table[Ceiling[3^(n/3)], {n, 0, 50}] (* Vincenzo Librandi, Jan 09 2014 *)
PROG
(Magma) [Ceiling(3^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 09 2014
(PARI) a(n)=ceil(3^(n/3)) \\ Charles R Greathouse IV, Jan 09 2014
CROSSREFS
Cf. A107586 and powers of cube root of k ceiling up: A017981 (k=2), this sequence (k=3), A017987 (k=4), A017990 (k=5), A017993 (k=6), A017996 (k=7), A018002 (k=9), A018005 (k=10), A018008 (k=11), A018011 (k=12), A018014 (k=13), A018017 (k=14), A018020 (k=15), A018023 (k=16), A018026 (k=17), A018029 (k=18), A018032 (k=19), A018035 (k=20), A018038 (k=21), A018041 (k=22), A018044 (k=23), A018047 (k=24).
Sequence in context: A042955 A035553 A108961 * A286330 A241378 A226275
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Jan 09 2014
STATUS
approved