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

Author

N. J. A. Sloane

Keywords

• nonn

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.

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).

Programs

Magma

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

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 *)

Extensions

More terms from Vincenzo Librandi, Jan 09 2014