A252620 Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

3022, 14435, 51614, 174803, 814008, 3108884, 11582748, 52469568, 201993618, 768890808, 3480326680, 13459054930, 51485158178, 233492157392, 905050919616, 3466946078122, 15745563038156, 61098284521678, 234159920022142

Offset

1,1

Comments

Row 5 of A252615

Links

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

Formula

Empirical: a(n) = 153*a(n-3) -8712*a(n-6) +255212*a(n-9) -4508492*a(n-12) +53093559*a(n-15) -446651987*a(n-18) +2811069562*a(n-21) -13591870478*a(n-24) +51098703404*a(n-27) -149793570874*a(n-30) +341702575498*a(n-33) -604381946186*a(n-36) +825959886406*a(n-39) -869742332060*a(n-42) +704603552412*a(n-45) -438817036584*a(n-48) +209303150240*a(n-51) -75464022512*a(n-54) +20062951584*a(n-57) -3814166304*a(n-60) +501537088*a(n-63) -42523840*a(n-66) +1893632*a(n-69) -30720*a(n-72) for n>75

Example

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

Crossrefs

Sequence in context: A252381 A186394 A236200 * A104960 A255736 A231762

Adjacent sequences: A252617 A252618 A252619 * A252621 A252622 A252623

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved