A252049 Number of (n+2)X(4+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

3494, 3030, 4390, 6562, 16536, 29180, 45444, 113456, 205932, 339128, 861746, 1594530, 2738540, 6782898, 13250354, 23666832, 57515860, 113323640, 216311042, 510417296, 1031791182, 1997922262, 4755406774, 9626094216, 19356957970

Offset

1,1

Comments

Column 4 of A252053

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +21*a(n-3) +22*a(n-4) -63*a(n-5) -193*a(n-6) -462*a(n-7) +306*a(n-8) +1288*a(n-9) +3442*a(n-10) +1869*a(n-11) -6238*a(n-12) -11452*a(n-13) -21686*a(n-14) +10156*a(n-15) +22448*a(n-16) +63087*a(n-17) +39044*a(n-18) -35944*a(n-19) -50726*a(n-20) -137608*a(n-21) -32238*a(n-22) +7517*a(n-23) +66843*a(n-24) +170838*a(n-25) +63175*a(n-26) +109549*a(n-27) -89146*a(n-28) -194530*a(n-29) -136487*a(n-30) -117036*a(n-31) +145160*a(n-32) +141098*a(n-33) +103496*a(n-34) -6560*a(n-35) -97504*a(n-36) -17744*a(n-37) -8576*a(n-38) +6256*a(n-39) +4288*a(n-40) +1024*a(n-41) +4288*a(n-42) -512*a(n-43) -512*a(n-45) for n>50

Example

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

Crossrefs

Sequence in context: A204721 A204960 A249525 * A108117 A233992 A203845

Adjacent sequences: A252046 A252047 A252048 * A252050 A252051 A252052

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved