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A181195 Number of n X 8 matrices containing a permutation of 1..n*8 in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally. 2

%I

%S 1,429,750325,2152061145,7372392431849,26791156423752069,

%T 99086837728795943389,368253691037579094795185,

%U 1370391973012218579798432209,5101453317266742158652901045085

%N Number of n X 8 matrices containing a permutation of 1..n*8 in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally.

%C Column 8 of A181196.

%H R. H. Hardin, <a href="/A181195/b181195.txt">Table of n, a(n) for n=1..100</a>

%e Some solutions for 3 X 8:

%e ..1..2..3..4..5..6..7..8....1..2..3..4..5..6..7.11....1..2..3..4..5..6..7.11

%e ..9.10.11.12.13.14.15.16....8..9.10.12.13.16.17.19....8..9.10.12.13.16.17.20

%e .17.18.19.20.21.22.23.24...14.15.18.20.21.22.23.24...14.15.18.19.21.22.23.24

%Y Cf. A181196.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 10 2010

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Last modified June 21 18:50 EDT 2021. Contains 345365 sequences. (Running on oeis4.)