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Number of (n+1)X(2+1) 0..4 arrays with each row and column divisible by 7, read as a base-5 number with top and left being the most significant digits.
1

%I #4 Oct 21 2015 06:57:02

%S 10,123,2210,38765,695964,12496675,224917356,4048173635,72867144002,

%T 1311601599673,23608817069520,424958486053303,7649252553421318,

%U 137686543396816875,2478357781214919410,44610440006778903293

%N Number of (n+1)X(2+1) 0..4 arrays with each row and column divisible by 7, read as a base-5 number with top and left being the most significant digits.

%C Column 2 of A263558.

%H R. H. Hardin, <a href="/A263552/b263552.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A263552/a263552.txt">Empirical recurrence of order 47</a>

%F Empirical recurrence of order 47 (see link above)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A263558.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 21 2015