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.

A276478 Number of points in square lattice in and on the boundary of the area encompassed by two arcs of radius n and centers at (0,0) and (n,0).

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%I A276478 #29 Mar 07 2021 12:18:29
%S A276478 1,2,5,12,19,34,45,56,77,98,127,148,169,206,239,280,311,350,393,440,
%T A276478 495,534,593,644,697,770,827,896,957,1026,1105,1168,1255,1330,1417,
%U A276478 1512,1579,1678,1759,1868,1969,2050,2159,2256,2377,2490,2585,2704,2811,2942
%N A276478 Number of points in square lattice in and on the boundary of the area encompassed by two arcs of radius n and centers at (0,0) and (n,0).
%H A276478 Wikipedia, <a href="https://en.wikipedia.org/wiki/Vesica_piscis">Vesica piscis</a>
%F A276478 a(n) = 1 - 3*n - 2*(n-1)*m(n) + 4 * Sum_{k=0..m(n)} floor(sqrt(n^2-k^2)) where m(n) = floor(n*sqrt(3)/2). - _Franz Vrabec_, Oct 02 2016
%F A276478 a(n)/n^2 tends to A093731 as n tends to infinity. - _Rémy Sigrist_, Mar 07 2021
%o A276478 (PARI) a(n) = my(m = floor(n*sqrt(3)/2)); 1 - 3*n - 2*(n-1)*m + 4*sum(k=0, m, sqrtint(n^2-k^2)); \\ _Michel Marcus_, Mar 07 2021
%Y A276478 Cf. A057961, A093731.
%K A276478 nonn
%O A276478 0,2
%A A276478 _Christina Steffan_, Sep 05 2016
%E A276478 More terms from _Franz Vrabec_, Oct 02 2016