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A323972 Number of 8 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{8,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2. 2

%I

%S 1,21,259,2570,18546,106067,508484,2117690,7852836,26400811,81594028,

%T 234380304,631352789,1606571023,3885713191,8979237218,19912769178,

%U 42540796862,87841523926,175820917355,341996038445,647926774508,1197980968295,2165529201795,3833173915877

%N Number of 8 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{8,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

%H Alois P. Heinz, <a href="/A323972/b323972.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: -(6*x^17 -95*x^16 +707*x^15 -3278*x^14 +10588*x^13 -25239*x^12 +45878*x^11 -64775*x^10 +71619*x^9 -62024*x^8 +41650*x^7 -21151*x^6 +7977*x^5 -1820*x^4 +343*x^3 +38*x^2 +4*x+1) / (x-1)^17.

%Y Row (or column) 8 of array in A323846.

%K nonn,easy

%O 0,2

%A _Alois P. Heinz_, Feb 09 2019

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Last modified May 25 19:11 EDT 2019. Contains 323576 sequences. (Running on oeis4.)