A252316 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

4197, 1918, 2493, 6011, 18820, 62915, 214325, 735703, 2536027, 8732521, 30044845, 103433765, 356211933, 1226556113, 4222869979, 14539252073, 50061142569, 172368826263, 593481176363, 2043402198747, 7035653625011, 24224571440057

Offset

1,1

Comments

Column 3 of A252321

Links

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

Formula

Empirical: a(n) = a(n-2) +13*a(n-3) +46*a(n-4) +89*a(n-5) +125*a(n-6) +81*a(n-7) -32*a(n-8) -87*a(n-9) -78*a(n-10) -9*a(n-11) +68*a(n-12) +41*a(n-13) -53*a(n-14) -131*a(n-15) -95*a(n-16) +24*a(n-17) +84*a(n-18) +78*a(n-19) +8*a(n-20) -81*a(n-21) -87*a(n-22) -36*a(n-23) +6*a(n-24) +14*a(n-25) +8*a(n-26) +4*a(n-27) for n>34

Example

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

Crossrefs

Sequence in context: A242770 A234723 A152511 * A103614 A210330 A020438

Adjacent sequences: A252313 A252314 A252315 * A252317 A252318 A252319

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved