A266097 Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself.

5, 36, 161, 929, 4893, 26948, 145274, 790986, 4286644, 23281595, 126318252, 685685972, 3721248548, 20197452145, 109618496442, 594950280201, 3229037349370, 17525382955525, 95117628995827, 516243924279843

Offset: 1

Author

R. H. Hardin, Dec 21 2015

Keywords

• nonn

Comments

Column 4 of A266101.

Examples

			Some solutions for n=4
..0..0..0..1....0..0..2..1....0..0..2..1....0..0..1..1....0..1..1..0
..1..1..2..0....1..1..0..1....1..1..0..1....1..2..0..1....2..1..0..1
..1..0..0..1....1..0..1..1....2..1..1..1....0..0..2..0....1..0..1..1
..1..1..1..0....1..1..0..0....1..0..0..0....1..1..0..1....1..2..0..1
		

Links

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

Crossrefs

Cf. A266101.

Formula

Empirical: a(n) = a(n-1) +24*a(n-2) +17*a(n-3) -89*a(n-4) -40*a(n-5) +146*a(n-6) +18*a(n-7) -82*a(n-8) -6*a(n-9) -8*a(n-10) +36*a(n-11) -13*a(n-12) +a(n-13) -2*a(n-14) +a(n-15) for n>16