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.

A085060 Integer reached in A085058.

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%I A085060 #29 Feb 26 2025 11:37:04
%S A085060 3,12,12,39,21,39,30,120,39,66,48,120,57,93,66,363,75,120,84,201,93,
%T A085060 147,102,363,111,174,120,282,129,201,138,1092,147,228,156,363,165,255,
%U A085060 174,606,183,282,192,444,201,309,210,1092,219,336,228,525,237,363,246,849,255,390
%N A085060 Integer reached in A085058.
%H A085060 Ruud H.G. van Tol, <a href="/A085060/b085060.txt">Table of n, a(n) for n = 0..10000</a>
%H A085060 J. C. Lagarias and N. J. A. Sloane, Approximate squaring (<a href="http://neilsloane.com/doc/apsq.pdf">pdf</a>, <a href="http://neilsloane.com/doc/apsq.ps">ps</a>), Experimental Math., 13 (2004), 113-128.
%F A085060 n << a(n) << n^1.6. (The actual upper exponent is log(3)/log(2) = 1.5849625....) - _Charles R Greathouse IV_, Aug 29 2024
%F A085060 From _Ruud H.G. van Tol_, Aug 31 2024: (Start)
%F A085060 a(2*n) = 9*n + 3.
%F A085060 a(2*n+1) = 3*a(n) + 3.
%F A085060 a(n) = (3/2)^A085058(n) * (2*n+2) - 3/2. (End)
%o A085060 (PARI) a(n) = (3/2)^valuation(2*n+2, 2)*(3*n+3)-3/2; \\ _Ruud H.G. van Tol_, Aug 29 2024
%o A085060 (Python)
%o A085060 def A085060(n): return (3*(k:=n+1)*3**(m:=(-k&k).bit_length())>>m)-1 # _Chai Wah Wu_, Feb 26 2025
%Y A085060 Cf. A085058, A085062.
%K A085060 nonn,easy
%O A085060 0,1
%A A085060 _N. J. A. Sloane_, Aug 11 2003