A252555 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

4284, 8508, 29158, 104515, 474384, 1818662, 6914968, 30571435, 118748167, 457814585, 2021592880, 7890733470, 30536066929, 135030341429, 528049571248, 2045985003610, 9056678076833, 35445411579673, 137400905815729

Offset

1,1

Comments

Column 5 of A252558

Links

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

Formula

Empirical: a(n) = 141*a(n-3) -7068*a(n-6) +174395*a(n-9) -2506081*a(n-12) +23429882*a(n-15) -154146596*a(n-18) +751684236*a(n-21) -2807197814*a(n-24) +8200818320*a(n-27) -19010699089*a(n-30) +35232932261*a(n-33) -52135315240*a(n-36) +60934776517*a(n-39) -55197026700*a(n-42) +37698656303*a(n-45) -18536879660*a(n-48) +5844224877*a(n-51) -584621719*a(n-54) -503336664*a(n-57) +341137814*a(n-60) -120629020*a(n-63) +28933758*a(n-66) -4962244*a(n-69) +608117*a(n-72) -51421*a(n-75) +2778*a(n-78) -83*a(n-81) +a(n-84) for n>89

Example

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

Crossrefs

Sequence in context: A259951 A101619 A239255 * A359304 A233888 A204408

Adjacent sequences: A252552 A252553 A252554 * A252556 A252557 A252558

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved