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A018010

Powers of cube root of 12 rounded to nearest integer.

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

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OFFSET

0,2

LINKS

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

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

Adjacent sequences: A018007 A018008 A018009 * A018011 A018012 A018013

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vincenzo Librandi, Jan 08 2014

STATUS

approved