A252580 Number of (6+2)X(n+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

4583, 17261, 96099, 263046, 1887578, 11285381, 31059674, 225598956, 1361132361, 3729210396, 27362165487, 166198069299, 453536490301, 3356182671339, 20487487055456, 55725146612802, 415147146187485, 2543940816582309

Offset

1,1

Comments

Row 6 of A252574

Links

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

Formula

Empirical: a(n) = 235*a(n-3) -15377*a(n-6) +231134*a(n-9) -2810947*a(n-12) +23472227*a(n-15) -127442070*a(n-18) +618426102*a(n-21) -1174418266*a(n-24) +287094995*a(n-27) +1098948151*a(n-30) -697123678*a(n-33) -202978930*a(n-36) +197586425*a(n-39) -20970000*a(n-42) for n>50

Example

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

Crossrefs

Sequence in context: A068756 A252099 A252405 * A230947 A205231 A231022

Adjacent sequences: A252577 A252578 A252579 * A252581 A252582 A252583

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved