A252571 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7

2985, 8980, 30532, 107651, 498696, 1887578, 7115253, 31894631, 122743127, 470091119, 2102294795, 8141112826, 31313195196, 140219334014, 544334882366, 2096632656296, 9398676402136, 36523929959167, 140756808264359

Offset

1,1

Comments

Column 5 of A252574

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
..0..0..2..0..0..1..1....2..0..0..2..0..0..2....0..1..0..0..2..0..0
..2..0..0..2..0..0..1....1..3..1..2..3..1..2....2..2..3..2..1..3..1
..2..3..2..2..3..2..2....0..0..2..0..0..2..0....2..0..0..2..0..0..2
..0..0..2..0..0..2..0....2..0..0..2..0..0..2....0..2..0..0..2..0..0
..2..0..0..1..0..0..2....2..3..1..2..3..2..1....2..2..3..2..2..3..1
..1..3..2..2..3..1..2....0..0..2..0..0..2..0....1..0..0..2..0..0..2

Crossrefs

Sequence in context: A120373 A365258 A186866 * A231628 A231623 A349063

Adjacent sequences: A252568 A252569 A252570 * A252572 A252573 A252574

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved