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.

A083657 a(n) = Sum_{i=1..n} floor(r*floor(r*i)) where r=sqrt(3).

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%I A083657 #12 Jun 24 2022 19:43:39
%S A083657 1,6,14,24,37,54,74,96,121,150,182,216,254,295,338,384,434,487,542,
%T A083657 600,662,727,794,865,939,1016,1095,1178,1264,1352,1443,1538,1636,1736,
%U A083657 1839,1946,2056,2168,2284,2403,2525,2649,2777,2908,3041,3177,3317,3460,3605
%N A083657 a(n) = Sum_{i=1..n} floor(r*floor(r*i)) where r=sqrt(3).
%F A083657 a(n) = (n/2)*(3n-1)+ n/sqrt(3) + O(1).
%o A083657 (PARI) a(n) = sum(i=1, n, floor(sqrt(3)*floor(sqrt(3)*i))); \\ _Michel Marcus_, Dec 05 2013
%Y A083657 Partial sums of A022158.
%K A083657 nonn
%O A083657 1,2
%A A083657 _Benoit Cloitre_, Jun 13 2003