A240639 Number of nX4 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order

5, 193, 7993, 333308, 13897353, 579476701, 24162243789, 1007486056500, 42008844856285, 1751630302786777, 73037207055319249, 3045410673315147020, 126983581950165639585, 5294796602205290417269, 220775557186425817150245

Offset

1,1

Comments

Column 4 of A240642

Links

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

Formula

Empirical: a(n) = 38*a(n-1) +193*a(n-2) -1416*a(n-3) -7253*a(n-4) -47234*a(n-5) -212251*a(n-6) -820896*a(n-7) -1101555*a(n-8) +3235842*a(n-9) +4995027*a(n-10) +822312*a(n-11) +1108809*a(n-12) -3188646*a(n-13) -4782969*a(n-14)

Example

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

Crossrefs

Sequence in context: A177192 A100760 A240702 * A198482 A198523 A093154

Adjacent sequences: A240636 A240637 A240638 * A240640 A240641 A240642

Keyword

nonn

Author

R. H. Hardin, Apr 09 2014

Status

approved