A018007 Powers of cube root of 11 rounded to nearest integer.

1, 2, 5, 11, 24, 54, 121, 269, 598, 1331, 2960, 6583, 14641, 32561, 72416, 161051, 358174, 796572, 1771561, 3939916, 8762296, 19487171, 43339080, 96385252, 214358881, 476729884, 1060237770, 2357947691, 5244028719, 11662615466, 25937424601, 57684315913

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A018006, and powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), this sequence (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

Programs

Magma

[Round(11^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 08 2014

Maple

A018007:=n->round(11^(n/3)); seq(A018007(n), n=0..50); # Wesley Ivan Hurt, Dec 21 2013

Mathematica

Table[Round[11^(n/3)], {n, 0, 50}] (* Wesley Ivan Hurt, Dec 21 2013 *)

Formula

a(n) = round( 11^(n/3) ). - Wesley Ivan Hurt, Dec 21 2013

Extensions

More terms from Vincenzo Librandi, Jan 08 2014