A252046 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

1552, 2440, 2812, 3494, 5192, 7642, 10084, 15096, 22090, 33394, 51822, 80300, 121316, 192672, 295944, 470038, 746074, 1178492, 1862412, 2996984, 4730680, 7662842, 12351324, 19845934, 32072160, 52188856, 84194786, 137851756

Offset

1,1

Comments

Column 1 of A252053

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-3) -8*a(n-4) -29*a(n-5) -58*a(n-6) -2*a(n-7) +150*a(n-8) +150*a(n-9) +206*a(n-10) -221*a(n-11) -189*a(n-12) -701*a(n-13) -818*a(n-14) -500*a(n-15) +71*a(n-16) +3534*a(n-17) +3928*a(n-18) +4745*a(n-19) -2456*a(n-20) -9287*a(n-21) -12293*a(n-22) -10344*a(n-23) +3840*a(n-24) +10863*a(n-25) +23408*a(n-26) +21046*a(n-27) +10475*a(n-28) -9318*a(n-29) -35737*a(n-30) -38917*a(n-31) -26671*a(n-32) +10972*a(n-33) +41136*a(n-34) +42789*a(n-35) +20583*a(n-36) -11936*a(n-37) -24448*a(n-38) -21284*a(n-39) -10383*a(n-40) +107*a(n-41) +4594*a(n-42) +7902*a(n-43) +8280*a(n-44) +4839*a(n-45) -922*a(n-46) -5045*a(n-47) -3483*a(n-48) -194*a(n-49) +871*a(n-50) +328*a(n-51) -6*a(n-52) +367*a(n-53) +323*a(n-54) -61*a(n-55) -178*a(n-56) -76*a(n-57) +24*a(n-58) +20*a(n-59) for n>69

Example

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

Crossrefs

Sequence in context: A323330 A252403 A252053 * A252045 A184683 A235306

Adjacent sequences: A252043 A252044 A252045 * A252047 A252048 A252049

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved