A269883 Number of n X 3 0..5 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totaling five exactly once.

60, 11280, 943488, 68182800, 4546948272, 288987039048, 17784013336560, 1069390341717552, 63195307974649056, 3684171438042095496, 212456461177871728704, 12143038817293086139824, 688894552975843324538640

Offset

1,1

Comments

Column 3 of A269888.

Links

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

Formula

Empirical: a(n) = 108*a(n-1) -3084*a(n-2) +8184*a(n-3) +42266*a(n-4) -148704*a(n-5) -74928*a(n-6) +597192*a(n-7) -527833*a(n-8) +90420*a(n-9) -4356*a(n-10) for n>11.

Example

Some solutions for n=2
..3..2..2. .3..3..1. .2..2..3. .1..0..3. .4..5..2. .1..5..4. .5..5..5
..5..1..5. .5..0..1. .2..5..5. .5..3..4. .2..4..0. .1..5..1. .2..3..1

Crossrefs

Cf. A269888.

Sequence in context: A001525 A309996 A146513 * A251991 A145411 A248708

Adjacent sequences: A269880 A269881 A269882 * A269884 A269885 A269886

Keyword

nonn

Author

R. H. Hardin, Mar 06 2016

Status

approved