A252411 Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

426, 1224, 3302, 6231, 21819, 63428, 122653, 433272, 1264088, 2446973, 8647751, 25240256, 48858289, 172693010, 504163906, 975786403, 3449387269, 10072591598, 19492346563, 68913269330, 201282072654, 389463616027, 1377074355675

Offset

1,1

Comments

Row 4 of A252407

Links

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

Formula

Empirical: a(n) = 41*a(n-3) -427*a(n-6) -92*a(n-9) +4948*a(n-12) -4734*a(n-15) -16460*a(n-18) +22444*a(n-21) +22257*a(n-24) -37919*a(n-27) -8433*a(n-30) +18472*a(n-33) +420*a(n-36) -516*a(n-39) for n>41

Example

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

Crossrefs

Sequence in context: A048922 A305267 A045094 * A236605 A236699 A338154

Adjacent sequences: A252408 A252409 A252410 * A252412 A252413 A252414

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved