A253834 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2440, 8392, 28540, 91296, 263476, 709704, 1850176, 4685448, 11503856, 27555888, 64844988, 150302032, 343468420, 775467312, 1733465848, 3842018112, 8449339760, 18454984816, 40069666364, 86552091560, 186078959996

Offset

1,1

Comments

Column 1 of A253841

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -22*a(n-2) +14*a(n-3) +79*a(n-4) -364*a(n-5) +811*a(n-6) -582*a(n-7) -1594*a(n-8) +6008*a(n-9) -11237*a(n-10) +9484*a(n-11) +10056*a(n-12) -43760*a(n-13) +77100*a(n-14) -77040*a(n-15) -2560*a(n-16) +136000*a(n-17) -257920*a(n-18) +300160*a(n-19) -156864*a(n-20) -105728*a(n-21) +335552*a(n-22) -473344*a(n-23) +388096*a(n-24) -162816*a(n-25) -10496*a(n-26) +136192*a(n-27) -132096*a(n-28) +49152*a(n-29) -12288*a(n-30) -16384*a(n-31) +16384*a(n-32) for n>33

Example

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

Crossrefs

Sequence in context: A254900 A253841 A253935 * A259006 A256904 A256897

Adjacent sequences: A253831 A253832 A253833 * A253835 A253836 A253837

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved