A252083 Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 or 4

295, 943, 3326, 11186, 38374, 132875, 457442, 1580135, 5473377, 18930754, 65456340, 226502034, 783890677, 2712485616, 9385945117, 32480412447, 112404447736, 389000283088, 1346233221024, 4659079372785, 16124670165786

Offset

1,1

Comments

Column 3 of A252088

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +31*a(n-3) -46*a(n-4) -30*a(n-5) -238*a(n-6) -338*a(n-7) +318*a(n-8) +1332*a(n-9) +3970*a(n-10) +3841*a(n-11) -2401*a(n-12) -15360*a(n-13) -24500*a(n-14) -6584*a(n-15) +32113*a(n-16) +50465*a(n-17) +6658*a(n-18) -54545*a(n-19) -40309*a(n-20) +34108*a(n-21) +92882*a(n-22) +54935*a(n-23) -66171*a(n-24) -137823*a(n-25) -87689*a(n-26) +35941*a(n-27) +110894*a(n-28) +83622*a(n-29) +8828*a(n-30) -42389*a(n-31) -45791*a(n-32) -24569*a(n-33) -3451*a(n-34) +9236*a(n-35) +12522*a(n-36) +9282*a(n-37) +3964*a(n-38) +40*a(n-39) -1136*a(n-40) -1008*a(n-41) -440*a(n-42) -144*a(n-43) -16*a(n-44) for n>46

Example

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

Crossrefs

Sequence in context: A131274 A074868 A277338 * A279052 A237803 A238512

Adjacent sequences: A252080 A252081 A252082 * A252084 A252085 A252086

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved