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 A181199 Number of 5 X n matrices containing a permutation of 1..5*n in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally. 2

%I

%S 1,1,16,985,141696,36372976,14083834704,7372392431849,

%T 4848332563899256,3808369342900073856,3447336241467721584256,

%U 3503140094024746011745456,3918646197894288330216058576,4753102567048482059557067412816,6178133154985813161258658378449616

%N Number of 5 X n matrices containing a permutation of 1..5*n in increasing order rowwise, columnwise, diagonally and (downwards) antidiagonally.

%C Row 5 of A181196.

%H Alois P. Heinz, <a href="/A181199/b181199.txt">Table of n, a(n) for n = 1..26</a>

%e Some solutions for 5 X 4:

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

%e ..5..6..7..8....5..6..7..8....5..6..7..8....5..6..7..8....5..6..7..8

%e ..9.10.11.12....9.10.11.12....9.10.11.12....9.10.11.12....9.10.11.12

%e .13.14.15.16...13.14.15.17...13.14.15.18...13.14.16.17...13.14.16.18

%e .17.18.19.20...16.18.19.20...16.17.19.20...15.18.19.20...15.17.19.20

%Y Cf. A181196.

%K nonn

%O 1,3

%A _R. H. Hardin_, Oct 10 2010

%E a(11)-a(26) from _Alois P. Heinz_, Jul 24 2012

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Last modified June 16 19:05 EDT 2021. Contains 345068 sequences. (Running on oeis4.)