A254013 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2540, 9560, 35272, 123448, 404672, 1267488, 3838248, 11314584, 32633748, 92478904, 258255040, 712440672, 1945445460, 5266796600, 14154242168, 37800414832, 100406141124, 265461537608, 699029097480, 1834306085296

Offset

1,1

Comments

Column 1 of A254020

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) +16*a(n-3) +52*a(n-4) -210*a(n-5) +366*a(n-6) +34*a(n-7) -1393*a(n-8) +2336*a(n-9) -691*a(n-10) -4358*a(n-11) +10530*a(n-12) -7804*a(n-13) -11677*a(n-14) +31226*a(n-15) -23935*a(n-16) -13178*a(n-17) +55951*a(n-18) -62520*a(n-19) +7813*a(n-20) +68528*a(n-21) -95278*a(n-22) +50892*a(n-23) +24770*a(n-24) -77546*a(n-25) +74824*a(n-26) -28734*a(n-27) -15771*a(n-28) +34300*a(n-29) -32573*a(n-30) +20398*a(n-31) -4570*a(n-32) -7440*a(n-33) +10251*a(n-34) -6742*a(n-35) +2329*a(n-36) -26*a(n-37) -575*a(n-38) +788*a(n-39) -448*a(n-40) +96*a(n-41) +48*a(n-42) -64*a(n-43) for n>46

Example

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

Crossrefs

Sequence in context: A257784 A254020 A254894 * A255036 A256954 A255029

Adjacent sequences: A254010 A254011 A254012 * A254014 A254015 A254016

Keyword

nonn

Author

R. H. Hardin, Jan 22 2015

Status

approved