A240148 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 or zero plus the sum of the elements antidiagonally to its northeast, modulo 4

3, 5, 11, 25, 62, 144, 329, 775, 1781, 4150, 9625, 22243, 51656, 119768, 277454, 643440, 1492066, 3458520, 8019402, 18594916, 43110992, 99960080, 231775985, 537393625, 1246028348, 2889126804, 6698837457, 15532273640, 36014074118

Offset

1,1

Comments

Column 2 of A240153

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +14*a(n-3) +5*a(n-4) -28*a(n-5) -89*a(n-6) -50*a(n-7) +93*a(n-8) +303*a(n-9) +214*a(n-10) -113*a(n-11) -561*a(n-12) -468*a(n-13) -47*a(n-14) +584*a(n-15) +499*a(n-16) +142*a(n-17) -359*a(n-18) -96*a(n-19) -23*a(n-20) +128*a(n-21) -102*a(n-22) -99*a(n-23) -119*a(n-24) +32*a(n-25) +82*a(n-26) +113*a(n-27) +50*a(n-28) -7*a(n-29) -42*a(n-30) -20*a(n-31) +a(n-32) +4*a(n-33) +a(n-34) for n>36

Example

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

Crossrefs

Sequence in context: A018008 A104545 A027050 * A109249 A196423 A320177

Adjacent sequences: A240145 A240146 A240147 * A240149 A240150 A240151

Keyword

nonn

Author

R. H. Hardin, Apr 02 2014

Status

approved