A252430 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7

2710, 3057, 8430, 26396, 85563, 284379, 920196, 3034712, 10150190, 32981888, 109313690, 367179617, 1196198109, 3973075534, 13372395915, 43629651855, 145063217940, 488756887882, 1595876309500, 5308954135554, 17896924979161

Offset

1,1

Comments

Column 5 of A252433

Links

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

Formula

Empirical: a(n) = 65*a(n-3) -1346*a(n-6) +14551*a(n-9) -142463*a(n-12) +945759*a(n-15) -5359380*a(n-18) +23399740*a(n-21) -81528617*a(n-24) +240197408*a(n-27) -492217707*a(n-30) +659468385*a(n-33) -577961640*a(n-36) -162829108*a(n-39) +1334618538*a(n-42) -887249897*a(n-45) -825324337*a(n-48) +774899953*a(n-51) +392763486*a(n-54) -500898752*a(n-57) +10723283*a(n-60) +146183542*a(n-63) -52290600*a(n-66) +3131208*a(n-69) +2053207*a(n-72) -4015872*a(n-75) +1555793*a(n-78) -209323*a(n-81) +73854*a(n-84) +1232*a(n-87) -912*a(n-90) -44*a(n-93) -6*a(n-96) +a(n-99) for n>101

Example

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

Crossrefs

Sequence in context: A083615 A205750 A205472 * A031622 A234551 A167836

Adjacent sequences: A252427 A252428 A252429 * A252431 A252432 A252433

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved