A238809 Number of nX5 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3

6, 39, 254, 1501, 7502, 31125, 111564, 356666, 1041746, 2828429, 7227752, 17541293, 40706954, 90804704, 195525484, 407797895, 826187028, 1629896763, 3137605666, 5904488589, 10879371862, 19655065895, 34860900004, 60769196108, 104219292070

Offset

1,1

Comments

Column 5 of A238812

Links

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

Formula

Empirical: a(n) = (1/4572288000)*n^15 - (977/43589145600)*n^14 + (2063/1334361600)*n^13 - (3407/47900160)*n^12 + (8955043/3592512000)*n^11 - (52157/777600)*n^10 + (81530299/57153600)*n^9 - (146333539/6096384)*n^8 + (209014719719/653184000)*n^7 - (29159596579/8709120)*n^6 + (1769086509077/65318400)*n^5 - (565086990557/3421440)*n^4 + (510122386391417/698544000)*n^3 - (166274896650011/75675600)*n^2 + (1441644437297/360360)*n - 3304835 for n>6

Example

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

Crossrefs

Sequence in context: A145664 A305289 A090018 * A006256 A052392 A370376

Adjacent sequences: A238806 A238807 A238808 * A238810 A238811 A238812

Keyword

nonn

Author

R. H. Hardin, Mar 05 2014

Status

approved