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A213962 T(n,k)=Number of n X n 0..k matrices with row and column i=1..n having sum <= i*k 12

%I #5 Dec 18 2015 18:18:12

%S 2,3,10,4,42,138,5,120,3186,5314,6,275,32060,1299735,575122,7,546,

%T 199735,74323976,2860343784,176041978,8,980,909900,1839121115,

%U 1494988224948,34107691901433,153143689594,9,1632,3323712,26346319032,214090209950060

%N T(n,k)=Number of n X n 0..k matrices with row and column i=1..n having sum <= i*k

%C Table starts

%C ......2..........3.............4...............5.................6

%C .....10.........42...........120.............275...............546

%C ....138.......3186.........32060..........199735............909900

%C ...5314....1299735......74323976......1839121115.......26346319032

%C .575122.2860343784.1494988224948.214090209950060.13186531254708756

%H R. H. Hardin, <a href="/A213962/b213962.txt">Table of n, a(n) for n = 1..53</a>

%F Empirical: rows n=1,2,3,4 are polynomials of degree 1,4,9,16

%e Some solutions for n=4 k=4

%e ..0..1..1..0....4..0..0..0....1..3..0..0....3..0..1..0....4..0..0..0

%e ..2..4..1..1....0..4..4..0....0..4..2..1....1..2..0..3....0..2..2..3

%e ..0..1..2..4....0..3..4..2....0..1..0..1....0..3..1..2....0..0..1..2

%e ..0..0..1..3....0..0..1..1....1..0..4..0....0..2..1..0....0..0..3..0

%Y Row 2 is A108678

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jun 28 2012

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Last modified May 21 12:09 EDT 2024. Contains 372736 sequences. (Running on oeis4.)