A240423 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

7, 35, 151, 684, 3140, 14357, 65592, 299916, 1371831, 6274812, 28701623, 131290186, 600577492, 2747320414, 12567582702, 57490483260, 262991159980, 1203058704494, 5503421428414, 25175545976671, 115166223186735, 526831101821167

Offset

1,1

Comments

Column 2 of A240427

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +34*a(n-3) -84*a(n-4) +92*a(n-5) -68*a(n-6) +222*a(n-7) +13*a(n-8) -251*a(n-9) +25*a(n-10) -495*a(n-11) +485*a(n-12) -44*a(n-13) -180*a(n-14) +554*a(n-15) -648*a(n-16) +14*a(n-17) +152*a(n-18) -190*a(n-19) -140*a(n-20) +397*a(n-21) -273*a(n-22) +75*a(n-23) +167*a(n-24) -136*a(n-25) +27*a(n-26)

Example

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

Crossrefs

Sequence in context: A121163 A223621 A215510 * A094825 A022635 A336602

Adjacent sequences: A240420 A240421 A240422 * A240424 A240425 A240426

Keyword

nonn

Author

R. H. Hardin, Apr 04 2014

Status

approved