A375131 Number of trivalent dissections of a rectangle into n rectangles.

1, 1, 2, 6, 22, 108, 668, 5026, 43005, 389803

Offset

1,3

Comments

Among the dissections counted by A375129, this sequence counts only those without 4-way junctions. See A375129 for the details.

References

J. P. Steadman, Architectural Morphology, Pion Limited, 1983. See Table 5.2 on p. 59.

Links

Table of n, a(n) for n=1..10.

Crossrefs

Cf. A049021, A340984, A342141, A375129, A375130, A375132.

Sequence in context: A218531 A339280 A129535 * A216720 A174074 A290279

Adjacent sequences: A375128 A375129 A375130 * A375132 A375133 A375134

Keyword

nonn,more

Author

Andrey Zabolotskiy, Jul 31 2024

Status

approved