A256766 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

9152, 81796, 475904, 2768896, 13278720, 63680400, 277704000, 1211040000, 5037021600, 20950246564, 85158087248, 346148662336, 1392238414592, 5599697511424, 22422624104192, 89785934095936, 358953258998256

Offset

1,1

Comments

Column 3 of A256771

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +36*a(n-2) -434*a(n-3) -293*a(n-4) +10602*a(n-5) -7308*a(n-6) -154260*a(n-7) +228465*a(n-8) +1487700*a(n-9) -3131964*a(n-10) -9978138*a(n-11) +27428457*a(n-12) +47114850*a(n-13) -170182908*a(n-14) -151549536*a(n-15) +783764700*a(n-16) +279527832*a(n-17) -2745078624*a(n-18) +60117408*a(n-19) +7400681712*a(n-20) -2312412192*a(n-21) -15409556928*a(n-22) +8541174528*a(n-23) +24660582720*a(n-24) -19139776896*a(n-25) -29880981504*a(n-26) +30120950784*a(n-27) +26559178752*a(n-28) -34513588224*a(n-29) -16160882688*a(n-30) +28802875392*a(n-31) +5486100480*a(n-32) -17101062144*a(n-33) +143917056*a(n-34) +6853754880*a(n-35) -1077936128*a(n-36) -1663041536*a(n-37) +452984832*a(n-38) +184549376*a(n-39) -67108864*a(n-40)

Example

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

Crossrefs

Cf. A256771

Sequence in context: A253031 A093213 A205922 * A210140 A232759 A250149

Adjacent sequences: A256763 A256764 A256765 * A256767 A256768 A256769

Keyword

nonn

Author

R. H. Hardin, Apr 09 2015

Status

approved