A252385 Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7

578, 897, 1359, 1966, 3020, 4682, 7109, 10880, 16510, 24980, 37998, 57542, 86746, 131187, 198166, 297785, 448707, 675885, 1013403, 1523445, 2289734, 3427589, 5145403, 7722614, 11548590, 17320501, 25972750, 38820847, 58190052, 87213137

Offset

1,1

Comments

Row 1 of A252384

Links

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

Formula

Empirical: a(n) = 23*a(n-3) +2*a(n-4) +a(n-5) -240*a(n-6) -43*a(n-7) -21*a(n-8) +1504*a(n-9) +416*a(n-10) +198*a(n-11) -6313*a(n-12) -2393*a(n-13) -1107*a(n-14) +18725*a(n-15) +9103*a(n-16) +4076*a(n-17) -40251*a(n-18) -24030*a(n-19) -10332*a(n-20) +62853*a(n-21) +44613*a(n-22) +18060*a(n-23) -68933*a(n-24) -56479*a(n-25) -20179*a(n-26) +45479*a(n-27) +40956*a(n-28) +8323*a(n-29) +245*a(n-30) +5126*a(n-31) +17972*a(n-32) -44003*a(n-33) -60497*a(n-34) -47406*a(n-35) +64895*a(n-36) +95841*a(n-37) +64929*a(n-38) -60009*a(n-39) -97604*a(n-40) -63621*a(n-41) +41063*a(n-42) +74286*a(n-43) +48260*a(n-44) -21705*a(n-45) -44161*a(n-46) -29124*a(n-47) +8906*a(n-48) +20723*a(n-49) +14055*a(n-50) -2778*a(n-51) -7606*a(n-52) -5368*a(n-53) +623*a(n-54) +2117*a(n-55) +1577*a(n-56) -89*a(n-57) -419*a(n-58) -336*a(n-59) +6*a(n-60) +52*a(n-61) +46*a(n-62) -3*a(n-64) -3*a(n-65) for n>79

Example

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

Crossrefs

Sequence in context: A031522 A234500 A252384 * A158369 A366067 A232888

Adjacent sequences: A252382 A252383 A252384 * A252386 A252387 A252388

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved