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.

A194150 a(n) = Sum_{j=1..n} floor(j*(3+sqrt(5))); n-th partial sum of Beatty sequence for 3+sqrt(5).

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%I A194150 #10 Jan 20 2024 14:07:56
%S A194150 5,15,30,50,76,107,143,184,231,283,340,402,470,543,621,704,793,887,
%T A194150 986,1090,1199,1314,1434,1559,1689,1825,1966,2112,2263,2420,2582,2749,
%U A194150 2921,3099,3282,3470,3663,3861,4065,4274,4488,4707,4932,5162,5397
%N A194150 a(n) = Sum_{j=1..n} floor(j*(3+sqrt(5))); n-th partial sum of Beatty sequence for 3+sqrt(5).
%t A194150 c[n_] := Sum[Floor[j*(3+Sqrt[5])], {j, 1, n}];
%t A194150 c = Table[c[n], {n, 1, 90}]
%Y A194150 Cf. A001962 (Beatty sequence for 3+sqrt(5)).
%K A194150 nonn
%O A194150 1,1
%A A194150 _Clark Kimberling_, Aug 17 2011