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A268075 Number of n X 4 nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero. 1
1, 8, 86, 1094, 15106, 216734, 3168306, 46777214, 694585586, 10350077054, 154574246386, 2311895643134, 34611510356466, 518504697774974, 7770897334266866, 116496760974182654, 1746784585901429746 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 36*a(n-1) - 463*a(n-2) + 2640*a(n-3) - 6700*a(n-4) + 6000*a(n-5).
Empirical g.f.: x*(1 - 28*x + 261*x^2 - 938*x^3 + 1120*x^4) / ((1 - 2*x)*(1 - 4*x)*(1 - 5*x)*(1 - 10*x)*(1 - 15*x)). - Colin Barker, Jan 11 2019
EXAMPLE
Some solutions for n=5:
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..1..0....0..1..1..0....0..0..0..1....0..0..0..1....0..1..0..1
..0..1..2..0....0..0..1..0....0..0..1..2....0..0..1..0....0..1..0..0
..0..0..1..0....0..0..0..1....0..0..0..1....0..1..0..1....0..0..1..1
..0..0..1..0....0..1..1..0....0..1..0..1....0..1..1..1....0..1..1..1
CROSSREFS
Column 4 of A268079.
Sequence in context: A371407 A369505 A268052 * A202545 A131812 A241259
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 25 2016
STATUS
approved

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Last modified July 23 08:23 EDT 2024. Contains 374546 sequences. (Running on oeis4.)