A335632 Number of regions after generation n of Conant's dissection of a square when dissected with both diagonal and orthogonal lines and where the starting edges rotate clockwise around the square and the dissection halves in size every second generation.

1, 2, 3, 8, 11, 25, 37, 97, 142, 316, 463, 1150, 1747, 4298, 6599, 16641, 25800, 65025, 101027, 256245, 399972, 1017939, 1589375, 4048559, 6328766, 16148228, 25252615, 53243252

Offset

0,2

Comments

This is a variation of A335628 where the same rules are applied but the first dissection is with a diagonal line from the lower left corner to the upper right corner, followed by dissection with an orthogonal line from the left edge. For further details see A335628.

Links

Table of n, a(n) for n=0..27.

Scott R. Shannon, Illustration for n=2.

Scott R. Shannon, Illustration for n=3.

Scott R. Shannon, Illustration for n=4.

Scott R. Shannon, Illustration for n=5.

Scott R. Shannon, Illustration for n=6.

Scott R. Shannon, Illustration for n=7.

Scott R. Shannon, Illustration for n=8.

Scott R. Shannon, Illustration for n=9.

Scott R. Shannon, Illustration for n=10.

Scott R. Shannon, Illustration for n=11.

Scott R. Shannon, Illustration for n=12.

Scott R. Shannon, Illustration for n=13.

Scott R. Shannon, Illustration for n=14.

Scott R. Shannon, Illustration for n=15.

Scott R. Shannon, Illustration for n=16.

Crossrefs

Cf. A335628, A328078, A334630, A335703, A337270, A335093, A337675.

Sequence in context: A289752 A119064 A285113 * A048788 A239453 A143914

Adjacent sequences: A335629 A335630 A335631 * A335633 A335634 A335635

Keyword

nonn,more

Author

Scott R. Shannon, Oct 03 2020

Status

approved