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A268054
Number of n X 6 0..2 arrays with new values introduced in each row and column in sequential order starting with zero.
1
1, 32, 2094, 200818, 22501266, 2666449962, 322124540754, 39169337042938, 4773343640706306, 582130110629340842, 71010944836457411314, 8662969218697854336858, 1056867236907904064782946
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 184*a(n-1) - 8533*a(n-2) + 122786*a(n-3) - 563036*a(n-4) + 700280*a(n-5).
Empirical g.f.: x*(1 - 152*x + 4739*x^2 - 34208*x^3 + 52740*x^4) / ((1 - 2*x)*(1 - 5*x)*(1 - 14*x)*(1 - 41*x)*(1 - 122*x)). - Colin Barker, Jan 11 2019
EXAMPLE
Some solutions for n=3:
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..1..0..1..0..0....0..1..1..1..1..1....0..1..0..1..0..0....0..1..0..0..0..1
..0..0..1..2..1..1....0..0..1..2..2..1....0..0..0..0..0..1....0..1..1..1..0..2
CROSSREFS
Column 6 of A268056.
Sequence in context: A277426 A159364 A202734 * A268077 A202547 A222830
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 25 2016
STATUS
approved