A252553 Number of (n+2)X(3+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

1510, 1752, 4006, 10585, 33635, 93997, 270672, 884446, 2534461, 7459102, 24855787, 72009187, 214010858, 720687640, 2098476357, 6265072674, 21204735728, 61886663234, 185148696490, 628118624808, 1835112897703, 5495335458258

Offset

1,1

Comments

Column 3 of A252558

Links

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

Formula

Empirical: a(n) = 57*a(n-3) -1068*a(n-6) +8828*a(n-9) -37486*a(n-12) +91215*a(n-15) -139676*a(n-18) +143042*a(n-21) -98725*a(n-24) +44005*a(n-27) -11816*a(n-30) +1746*a(n-33) -124*a(n-36) +3*a(n-39) for n>45

Example

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

Crossrefs

Sequence in context: A190032 A237319 A281569 * A237725 A200915 A298223

Adjacent sequences: A252550 A252551 A252552 * A252554 A252555 A252556

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved