A017987 Powers of cube root of 4 rounded up.

1, 2, 3, 4, 7, 11, 16, 26, 41, 64, 102, 162, 256, 407, 646, 1024, 1626, 2581, 4096, 6502, 10322, 16384, 26008, 41286, 65536, 104032, 165141, 262144, 416128, 660562, 1048576, 1664511, 2642246, 4194304, 6658043, 10568984, 16777216, 26632171, 42275936, 67108864

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

J. Peebles, Cap Set Bounds and Matrix Multiplication, Math 197: Senior Thesis, Harvey Mudd College, 2013.

Mathematica

Ceiling[Surd[4, 3]^Range[0, 40]] (* Harvey P. Dale, May 15 2013 *)
Table[Ceiling[4^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 09 2014 *)

Prog

(Magma) [Ceiling(4^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 09 2014

Crossrefs

Cf. powers of cube root of k ceiling up: A017981 (k=2), A017984 (k=3), this sequence (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: A367667 A222022 A025048 * A337495 A222023 A221997

Adjacent sequences: A017984 A017985 A017986 * A017988 A017989 A017990

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 09 2014

Status

approved