login
A018010
Powers of cube root of 12 rounded to nearest integer.
23
1, 2, 5, 12, 27, 63, 144, 330, 755, 1728, 3956, 9057, 20736, 47474, 108687, 248832, 569683, 1304249, 2985984, 6836197, 15650984, 35831808, 82034362, 187811805, 429981696, 984412343, 2253741659, 5159780352, 11812948115, 27044899907, 61917364224
OFFSET
0,2
LINKS
MATHEMATICA
Table[Round[12^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 08 2014 *)
PROG
(Magma) [Round(12^(n/3)): n in [0..40]]; // Vincenzo Librandi, Jan 08 2014
(Python)
from sympy import integer_nthroot
def A018010(n): return -integer_nthroot(m:=3**n<<(n<<1), 3)[0]+integer_nthroot(m<<3, 3)[0] # Chai Wah Wu, Jun 18 2024
CROSSREFS
Cf. 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), this sequence (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).
Sequence in context: A319172 A018009 A128096 * A303022 A026710 A291248
KEYWORD
nonn
EXTENSIONS
More terms from Vincenzo Librandi, Jan 08 2014
STATUS
approved