A240251 Number of 2Xn 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4

6, 0, 8, 40, 152, 540, 1578, 5912, 18528, 65302, 212372, 733426, 2426106, 8296612, 27678444, 94137686, 315632340, 1069956004, 3597752554, 12172795856, 40997298324, 138562059118, 467091216442, 1577693637918, 5321097135168

Offset

1,1

Comments

Row 2 of A240250

Links

R. H. Hardin, Table of n, a(n) for n = 1..167

Formula

Empirical: a(n) = a(n-1) +13*a(n-2) -2*a(n-3) -43*a(n-4) -28*a(n-5) +4*a(n-6) -a(n-7) +89*a(n-8) +142*a(n-9) -137*a(n-10) +71*a(n-11) +263*a(n-12) -232*a(n-13) +48*a(n-14) +179*a(n-15) -182*a(n-16) +52*a(n-17) +106*a(n-18) +34*a(n-19) +10*a(n-20) +12*a(n-21) +22*a(n-22) -36*a(n-23) +4*a(n-24) +4*a(n-25)

Example

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

Crossrefs

Sequence in context: A156015 A201898 A193336 * A114530 A085673 A117492

Adjacent sequences: A240248 A240249 A240250 * A240252 A240253 A240254

Keyword

nonn

Author

R. H. Hardin, Apr 03 2014

Status

approved