A266051 Number of nX4 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than or equal to itself.

7, 58, 302, 4203, 41919, 406412, 3922630, 37847050, 366073677, 3539729256, 34225117612, 330920692737, 3199615235589, 30936683427950, 299122948811816, 2892181883282837, 27964142570392887, 270381764365092475

Offset

1,1

Comments

Column 4 of A266055.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +19*a(n-2) +54*a(n-3) +52*a(n-4) +580*a(n-5) +223*a(n-6) -275*a(n-7) -60*a(n-8) +44*a(n-9) -4*a(n-10) for n>12

Example

Some solutions for n=4
..1..0..3..0....0..2..3..0....0..3..1..0....1..0..2..1....0..2..3..0
..2..1..4..0....1..0..3..0....0..3..4..0....1..4..0..1....2..1..4..0
..0..4..4..0....1..4..4..0....0..3..1..2....0..4..3..0....1..4..1..2
..0..1..3..0....0..1..3..0....0..3..2..0....1..0..3..0....0..3..1..0

Crossrefs

Cf. A266055.

Sequence in context: A324420 A225160 A219974 * A202975 A051816 A015566

Adjacent sequences: A266048 A266049 A266050 * A266052 A266053 A266054

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved