A254838 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically

512, 2485, 8776, 30182, 99200, 293012, 794128, 2084773, 5392400, 13573624, 33204574, 80124746, 192349472, 458091034, 1080492808, 2534264261, 5930184322, 13838765283, 32185821994, 74693933546, 173167669926, 401063439075

Offset

1,1

Comments

Column 1 of A254845

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -4*a(n-3) +19*a(n-4) -52*a(n-5) +16*a(n-6) +84*a(n-7) -81*a(n-8) +54*a(n-9) +241*a(n-10) -548*a(n-11) -247*a(n-12) +1186*a(n-13) -1497*a(n-14) +970*a(n-15) +2083*a(n-16) -4166*a(n-17) +1689*a(n-18) +1372*a(n-19) -2626*a(n-20) -634*a(n-21) +11103*a(n-22) -18990*a(n-23) +16085*a(n-24) -8600*a(n-25) +3843*a(n-26) -6236*a(n-27) +16348*a(n-28) -24736*a(n-29) +21996*a(n-30) -11504*a(n-31) +2384*a(n-32) +1920*a(n-33) -2496*a(n-34) +1280*a(n-35) -256*a(n-36) for n>41

Example

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

Crossrefs

Sequence in context: A256897 A255756 A254845 * A257784 A254020 A254894

Adjacent sequences: A254835 A254836 A254837 * A254839 A254840 A254841

Keyword

nonn

Author

R. H. Hardin, Feb 08 2015

Status

approved