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A244252 Total number of incoming edges at depth n in the solid partitions graph. 0
1, 4, 16, 46, 128, 332, 842, 2042, 4846, 11146, 25114, 55310, 119662, 254354, 532784, 1100411, 2245118, 4528212, 9038898, 17868025, 35006932, 68008606, 131083778, 250774482, 476372848, 898837825, 1685107392, 3139812791, 5816015908, 10712596279, 19625001436, 35765137033, 64853219808, 117031972499, 210211082354, 375886565558, 669232663688, 1186538314110, 2095236499224, 3685445929502 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The solid partition graph is constructed as a directed graph whose vertices are solid partitions. The root vertex of the graph is the unique solid partition with one node. Given a solid partition, draw on outward directed edge to all solid partitions that can be obtained by the addition of a single node to the solid partition. The depth of a given vertex is given by the number of its nodes.

LINKS

Table of n, a(n) for n=1..40.

N. Destainville and S. Govindarajan, Estimating the asymptotics of solid partitions, arXiv:1406.5605 [cond-mat.stat-mech], 2014.

EXAMPLE

a(2) = 4 as all four solid partitions of 2 are connected to the root vertex.

CROSSREFS

Cf. A000293, A090984, A000070.

Sequence in context: A055342 A213292 A174836 * A308592 A050616 A297160

Adjacent sequences:  A244249 A244250 A244251 * A244253 A244254 A244255

KEYWORD

nonn,hard

AUTHOR

Suresh Govindarajan, Jun 23 2014

STATUS

approved

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Last modified July 1 06:25 EDT 2022. Contains 354952 sequences. (Running on oeis4.)