cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A018010 Powers of cube root of 12 rounded to nearest integer.

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%I A018010 #14 Jun 18 2024 21:05:40
%S A018010 1,2,5,12,27,63,144,330,755,1728,3956,9057,20736,47474,108687,248832,
%T A018010 569683,1304249,2985984,6836197,15650984,35831808,82034362,187811805,
%U A018010 429981696,984412343,2253741659,5159780352,11812948115,27044899907,61917364224
%N A018010 Powers of cube root of 12 rounded to nearest integer.
%H A018010 Vincenzo Librandi, <a href="/A018010/b018010.txt">Table of n, a(n) for n = 0..200</a>
%t A018010 Table[Round[12^(n/3)], {n, 0, 40}] (* _Vincenzo Librandi_, Jan 08 2014 *)
%o A018010 (Magma) [Round(12^(n/3)): n in [0..40]]; // _Vincenzo Librandi_, Jan 08 2014
%o A018010 (Python)
%o A018010 from sympy import integer_nthroot
%o A018010 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
%Y A018010 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).
%K A018010 nonn
%O A018010 0,2
%A A018010 _N. J. A. Sloane_
%E A018010 More terms from _Vincenzo Librandi_, Jan 08 2014