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.

A258048 Nonhomogeneous Beatty sequence: a(n) = ceiling((n + 1/2)*Pi/(Pi - 1)).

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%I A258048 #11 Mar 02 2025 10:10:30
%S A258048 1,3,4,6,7,9,10,12,13,14,16,17,19,20,22,23,25,26,28,29,31,32,34,35,36,
%T A258048 38,39,41,42,44,45,47,48,50,51,53,54,56,57,58,60,61,63,64,66,67,69,70,
%U A258048 72,73,75,76,78,79,80,82,83,85,86,88,89,91,92,94,95,97
%N A258048 Nonhomogeneous Beatty sequence: a(n) = ceiling((n + 1/2)*Pi/(Pi - 1)).
%C A258048 See A257984.
%H A258048 Clark Kimberling, <a href="/A258048/b258048.txt">Table of n, a(n) for n = 0..10000</a>
%H A258048 Aviezri S. Fraenkel, <a href="http://dx.doi.org/10.4153/CJM-1969-002-7">The bracket function and complementary sets of integers</a>, Canadian J. of Math. 21 (1969) 6-27.
%F A258048 a(n) = ceiling((n + 1/2)*Pi/(Pi - 1)).
%t A258048 Table[Ceiling[(n - 1/2) Pi], {n, 1, 120}] (* A257984 *)
%t A258048 Table[Ceiling[(n + 1/2) Pi/(Pi - 1)], {n, 0, 120}]  (* A258048 *)
%Y A258048 Cf. A257984 (complement), A246046, A062380, A258833.
%K A258048 nonn,easy
%O A258048 0,2
%A A258048 _Clark Kimberling_, Jun 15 2015