A371439 - OEIS

%I #4 Mar 23 2024 20:28:16

%S 2,11,56,177,500,1175,2540,4995,9246,16111,26888,43013,66664,100213,

%T 146984,210543,295740,407755,553372,739887,976396,1272691,1640772,

%U 2093315

%N Number of bounded polygonal regions formed by drawing all least squares regression lines fitted to n points (j,y_j), 0 <= j < n, where each y_j is 0 or 1.

%C The number of unbounded regions formed is 2*A000125(n) (twice the number of distinct lines).

%H Pontus von Brömssen, <a href="/A371437/a371437.svg">Illustration for n = 2</a>.

%H Pontus von Brömssen, <a href="/A371437/a371437_1.svg">Illustration for n = 3</a>.

%H Pontus von Brömssen, <a href="/A371437/a371437_2.svg">Illustration for n = 4</a>.

%H Pontus von Brömssen, <a href="/A371437/a371437_3.svg">Illustration for n = 5</a>.

%Y Cf. A000125, A371437, A371438.

%K nonn,more

%O 2,1

%A _Pontus von Brömssen_, Mar 23 2024