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A360062 Triangle read by rows: T(m,n) is the number of spanning trees in the graph whose nodes are the integer lattice points (x,y) with 0 <= x < m and 0 <= y < n, and with an edge between two nodes if there is no other integer lattice point on the line segment between them; 1 <= n <= m. 2

%I #9 Jan 28 2023 15:46:45

%S 1,1,16,1,576,496125,1,41616,1830420480,375297659043840,1,5085025,

%T 10361547386325,166557643451782840320,5885897714143664700439342125,1,

%U 945193536,144188666818560000,258848560805325726352932864,1192037309255692352595217996892160000,36939045170346949681155330481716034613142893328

%N Triangle read by rows: T(m,n) is the number of spanning trees in the graph whose nodes are the integer lattice points (x,y) with 0 <= x < m and 0 <= y < n, and with an edge between two nodes if there is no other integer lattice point on the line segment between them; 1 <= n <= m.

%H Pontus von Brömssen, <a href="/A360062/b360062.txt">Table of n, a(n) for n = 1..210</a> (rows m = 1..20)

%e Triangle begins:

%e m\n| 1 2 3 4

%e ---+-----------------------------------

%e 1 | 1

%e 2 | 1 16

%e 3 | 1 576 496125

%e 4 | 1 41616 1830420480 375297659043840

%Y Cf. A116469, A247943, A360063.

%K nonn,tabl

%O 1,3

%A _Pontus von Brömssen_, Jan 24 2023

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Last modified April 24 07:06 EDT 2024. Contains 371920 sequences. (Running on oeis4.)