A252567 Number of (n+2)X(1+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

702, 742, 890, 1469, 2637, 4583, 8279, 15476, 28007, 51488, 96898, 176973, 326583, 615240, 1126387, 2079411, 3916443, 7178360, 13247301, 24939892, 45753026, 84395129, 158816016, 291599929, 537626773, 1011287507, 1858330859, 3424706510

Offset

1,1

Comments

Column 1 of A252574

Links

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

Formula

Empirical: a(n) = 26*a(n-3) -280*a(n-6) +1644*a(n-9) +a(n-11) -5901*a(n-12) -23*a(n-14) +13891*a(n-15) +9*a(n-16) +218*a(n-17) -22285*a(n-18) -87*a(n-19) -1114*a(n-20) +24618*a(n-21) +235*a(n-22) +3398*a(n-23) -18372*a(n-24) -174*a(n-25) -6506*a(n-26) +8700*a(n-27) -229*a(n-28) +7928*a(n-29) -2284*a(n-30) +496*a(n-31) -5968*a(n-32) +600*a(n-33) -313*a(n-34) +2449*a(n-35) -1063*a(n-36) +38*a(n-37) -263*a(n-38) +1219*a(n-39) +40*a(n-40) -170*a(n-41) -603*a(n-42) -17*a(n-43) +50*a(n-44) +26*a(n-45) +2*a(n-46) +97*a(n-48) -36*a(n-51) +4*a(n-54) for n>60

Example

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

Crossrefs

Sequence in context: A140433 A316969 A303689 * A252574 A252575 A252566

Adjacent sequences: A252564 A252565 A252566 * A252568 A252569 A252570

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved