A254477 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically

2696, 11293, 50454, 170900, 603895, 1990286, 6557179, 20990158, 66511881, 206889218, 638407700, 1953110307, 5950273442, 18061423893, 54710654569, 165447019004, 499781356823, 1508449839592, 4550294119859, 13720340793246

Offset

1,1

Comments

Column 2 of A254483

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -21*a(n-2) +11*a(n-3) +45*a(n-4) -103*a(n-5) +115*a(n-6) -38*a(n-7) -107*a(n-8) -131*a(n-9) +921*a(n-10) -596*a(n-11) -2181*a(n-12) +5379*a(n-13) -6824*a(n-14) +4068*a(n-15) +5485*a(n-16) -16322*a(n-17) +22346*a(n-18) -18834*a(n-19) +189*a(n-20) +18197*a(n-21) -22297*a(n-22) +20167*a(n-23) -13557*a(n-24) +7411*a(n-25) -7586*a(n-26) +3540*a(n-27) +8543*a(n-28) -19094*a(n-29) +22262*a(n-30) -18776*a(n-31) +8091*a(n-32) +2783*a(n-33) -6540*a(n-34) +7569*a(n-35) -6328*a(n-36) +4240*a(n-37) -4436*a(n-38) +3729*a(n-39) -1549*a(n-40) -563*a(n-41) +2054*a(n-42) -2410*a(n-43) +1438*a(n-44) -269*a(n-45) -74*a(n-46) +186*a(n-47) -36*a(n-48) -200*a(n-49) +112*a(n-50) -32*a(n-51) -32*a(n-52) +80*a(n-53) -32*a(n-54) for n>62

Example

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

Crossrefs

Sequence in context: A210049 A254554 A254547 * A115930 A109994 A322525

Adjacent sequences: A254474 A254475 A254476 * A254478 A254479 A254480

Keyword

nonn

Author

R. H. Hardin, Jan 31 2015

Status

approved