login
A018025
Powers of cube root of 17 rounded to nearest integer.
24
1, 3, 7, 17, 44, 112, 289, 743, 1911, 4913, 12633, 32482, 83521, 214756, 552198, 1419857, 3650852, 9387369, 24137569, 62064487, 159585272, 410338673, 1055096276, 2712949630, 6975757441, 17936636689, 46120143717, 118587876497, 304922823712, 784042443182
OFFSET
0,2
LINKS
MATHEMATICA
Table[Round[17^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 08 2014 *)
PROG
(PARI) a(n) = round((17^(1/3))^n); \\ Michel Marcus, Nov 23 2013
(Magma) [Round(17^(n/3)): n in [0..40]]; // Vincenzo Librandi, Jan 08 2014
(Python)
from sympy import integer_nthroot
def A018025(n): return -integer_nthroot(m:=17**n, 3)[0]+integer_nthroot(m<<3, 3)[0] # Chai Wah Wu, Jun 18 2024
CROSSREFS
Cf. A010589, A018024, A018026, 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), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), this sequence (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).
Sequence in context: A115325 A294129 A308589 * A018026 A087953 A210839
KEYWORD
nonn
EXTENSIONS
More terms from Michel Marcus, Nov 23 2013
STATUS
approved