A252438 Number of (5+2)X(n+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

1152, 2993, 9643, 20187, 85563, 302218, 652210, 2786331, 9882896, 21364917, 91892076, 329431402, 713269143, 3086478489, 11174739662, 24228015605, 105441386320, 385277405784, 836364909521, 3658820031018, 13479381001111

Offset

1,1

Comments

Row 5 of A252433

Links

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

Formula

Empirical: a(n) = 70*a(n-3) -1310*a(n-6) +2636*a(n-9) +32077*a(n-12) -114560*a(n-15) -249921*a(n-18) +1417321*a(n-21) +345748*a(n-24) -7837703*a(n-27) +5163709*a(n-30) +17041697*a(n-33) -25415804*a(n-36) +9724087*a(n-39) +1068754*a(n-42) -1474782*a(n-45) +323236*a(n-48) -26094*a(n-51) +840*a(n-54) for n>58

Example

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

Crossrefs

Sequence in context: A154374 A114046 A035888 * A179689 A131527 A229590

Adjacent sequences: A252435 A252436 A252437 * A252439 A252440 A252441

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved