A371439 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.

2, 11, 56, 177, 500, 1175, 2540, 4995, 9246, 16111, 26888, 43013, 66664, 100213, 146984, 210543, 295740, 407755, 553372, 739887, 976396, 1272691, 1640772, 2093315

Offset

2,1

Comments

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

Links

Table of n, a(n) for n=2..25.

Pontus von Brömssen, Illustration for n = 2.

Pontus von Brömssen, Illustration for n = 3.

Pontus von Brömssen, Illustration for n = 4.

Pontus von Brömssen, Illustration for n = 5.

Crossrefs

Cf. A000125, A371437, A371438.

Sequence in context: A037522 A037731 A221019 * A115205 A306753 A306860

Adjacent sequences: A371436 A371437 A371438 * A371440 A371441 A371442

Keyword

nonn,more

Author

Pontus von Brömssen, Mar 23 2024

Status

approved