A252686 Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

4038, 13494, 64640, 136414, 916706, 4829707, 10457376, 70249416, 372527375, 806660058, 5422537973, 28763936254, 62268911097, 418917039497, 2222115409353, 4808467457146, 32371753932406, 171699518657635, 371394192082283

Offset

1,1

Comments

Row 7 of A252679

Links

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

Formula

Empirical: a(n) = 163*a(n-3) -6970*a(n-6) +3642*a(n-9) +1960463*a(n-12) -10952853*a(n-15) -203898467*a(n-18) +1830914971*a(n-21) +7903574596*a(n-24) -127797366336*a(n-27) +116369822357*a(n-30) +3556551765923*a(n-33) -15237909554385*a(n-36) +4556002789163*a(n-39) +79267090037614*a(n-42) -97784193984846*a(n-45) -120480915745871*a(n-48) +233372335040177*a(n-51) +26914295117063*a(n-54) -205379807590363*a(n-57) +69716078811376*a(n-60) +57689985394788*a(n-63) -47434286899221*a(n-66) +8277322470897*a(n-69) +7622972441214*a(n-72) -5265012659918*a(n-75) -74878113240*a(n-78) +770583522784*a(n-81) -43567247520*a(n-84) -41527353696*a(n-87) +586567296*a(n-90) +201139200*a(n-93) for n>99

Example

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

Crossrefs

Sequence in context: A060896 A371757 A206617 * A178274 A332458 A204948

Adjacent sequences: A252683 A252684 A252685 * A252687 A252688 A252689

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved