A251169 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

1192, 28598, 710438, 17822017, 447045247, 11217458242, 281464393752, 7062524479907, 177212908806834, 4446631711500476, 111574998800049608, 2799642934653229861, 70248716607229845853, 1762682712241272381344

Offset

1,1

Comments

Column 2 of A251175

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +207*a(n-2) -467*a(n-3) -6600*a(n-4) -1875*a(n-5) +63326*a(n-6) +73820*a(n-7) -229957*a(n-8) -336653*a(n-9) +261015*a(n-10) +44686*a(n-11) -128915*a(n-12) +2430445*a(n-13) +2129961*a(n-14) -3221584*a(n-15) -3772828*a(n-16) -1458815*a(n-17) -1624091*a(n-18) +1337778*a(n-19) -594676*a(n-20) -2421161*a(n-21) +4990735*a(n-22) +3825613*a(n-23) -2837931*a(n-24) -1064416*a(n-25) +460189*a(n-26) -570147*a(n-27) -263513*a(n-28) +428467*a(n-29) +62098*a(n-30) -84117*a(n-31) +2517*a(n-32) +12555*a(n-33) -1695*a(n-34) -1864*a(n-35) +80*a(n-36) +142*a(n-37) -a(n-38) -2*a(n-39)

Example

Some solutions for n=2
..1..3..2....2..2..2....3..2..1....1..3..3....0..2..1....1..2..1....2..0..0
..2..2..1....0..2..3....3..3..2....3..3..3....2..1..2....2..1..3....0..0..2
..2..1..3....2..3..3....3..1..1....2..3..0....1..2..0....3..3..1....0..2..1

Crossrefs

Sequence in context: A299892 A299059 A299820 * A299720 A300341 A040104

Adjacent sequences: A251166 A251167 A251168 * A251170 A251171 A251172

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved