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.

A376958 a(n) = least k such that (n Pi/3)^(2k+1)/(2k+1)! < 1.

This page as a plain text file.
%I A376958 #4 Oct 19 2024 22:13:15
%S A376958 1,1,2,3,5,6,7,9,10,11,13,14,16,17,19,20,21,23,24,26,27,28,30,31,33,
%T A376958 34,35,37,38,40,41,43,44,45,47,48,50,51,52,54,55,57,58,60,61,62,64,65,
%U A376958 67,68,69,71,72,74,75,77,78,79,81,82,84,85,86,88,89,91,92
%N A376958 a(n) = least k such that (n Pi/3)^(2k+1)/(2k+1)! < 1.
%C A376958 The numbers (n Pi/3)^(2k+1)/(2k+1)!  are the coefficients in the Maclaurin series for sin x when x = Pi/3.  If m>a(n), then (n Pi/3)^(2k+1)/(2k+1)!  < 1.
%t A376958 a[n_] := Select[Range[z], (n Pi/3)^(2 # + 1)/(2 # + 1)! < 1 &, 1]
%t A376958 Flatten[Table[a[n], {n, 0, 100}]]
%Y A376958 Cf. A370507, A376284, A376952, A376953, A376954, A376955, A376956, A376957, A376959, A376960.
%K A376958 nonn
%O A376958 0,3
%A A376958 _Clark Kimberling_, Oct 17 2024