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, 8, 86, 1094, 15106, 216734, 3168306, 46777214, 694585586, 10350077054, 154574246386, 2311895643134, 34611510356466, 518504697774974, 7770897334266866, 116496760974182654, 1746784585901429746

Offset

1,2

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A268072 A268073 A268074 * A268076 A268077 A268078

Keyword

nonn

Author

R. H. Hardin, Jan 25 2016

Status

approved