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.

A017958 Powers of sqrt(18) rounded down.

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%I A017958 #18 Jul 08 2025 06:20:25
%S A017958 1,4,18,76,324,1374,5832,24743,104976,445375,1889568,8016758,34012224,
%T A017958 144301645,612220032,2597429617,11019960576,46753733110,198359290368,
%U A017958 841567195983,3570467226624,15148209527700
%N A017958 Powers of sqrt(18) rounded down.
%H A017958 Vincenzo Librandi, <a href="/A017958/b017958.txt">Table of n, a(n) for n = 0..800</a>
%F A017958 a(n) = floor(sqrt(18^n)). - _Vincenzo Librandi_, Jun 24 2011
%e A017958 sqrt(18)^2 = 18, so a(2) = 18.
%e A017958 sqrt(18)^3 = 76.3675323681471326352911911..., so a(3) = 76.
%e A017958 sqrt(18)^4 = 18^2 = 324, so a(4) = 324.
%e A017958 sqrt(18)^5 = 1374.61558262664838743524143993..., so a(5) = 1374.
%t A017958 Floor[Sqrt[18]^Range[0, 35]] (* _Alonso del Arte_, Dec 07 2017 *)
%o A017958 (Magma) [Floor(Sqrt(18^n)): n in [0..30]]; // _Vincenzo Librandi_, Jun 24 2011
%o A017958 (PARI) a(n)=sqrtint(18^n) \\ _Charles R Greathouse IV_, Nov 18 2011
%Y A017958 Cf. A001027 (bisection)
%K A017958 nonn,easy
%O A017958 0,2
%A A017958 _N. J. A. Sloane_