A375131 - OEIS

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A375131

Number of trivalent dissections of a rectangle into n rectangles.

4

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

(list; graph; refs; listen; history; text; internal format)

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