A251436 Number of (n+1)X(2+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements

2312, 86930, 3204536, 119053429, 4414109389, 163787201307, 6076163446285, 225429873974601, 8363437970580899, 310285417014267345, 11511635639670577045, 427083714364654295407, 15844878120109593693530

Offset

1,1

Comments

Column 2 of A251442

Links

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

Formula

Empirical: a(n) = 33*a(n-1) +308*a(n-2) -5263*a(n-3) -23793*a(n-4) +157098*a(n-5) +420584*a(n-6) -2479492*a(n-7) -2574121*a(n-8) +21587218*a(n-9) -3368224*a(n-10) -104469857*a(n-11) +129885048*a(n-12) +307331882*a(n-13) -895875261*a(n-14) -439404435*a(n-15) +3353232807*a(n-16) +686356358*a(n-17) -9012076089*a(n-18) +49395448*a(n-19) +13111871785*a(n-20) -4036063357*a(n-21) -13266835449*a(n-22) +10126776989*a(n-23) +7142761163*a(n-24) -9749966496*a(n-25) -382270603*a(n-26) +4128120218*a(n-27) -1095849774*a(n-28) -468724137*a(n-29) +567341717*a(n-30) -96726934*a(n-31) -135224902*a(n-32) +8739146*a(n-33) +7609442*a(n-34) +1079294*a(n-35) +90286*a(n-36) -54189*a(n-37) +39728*a(n-38) +3867*a(n-39) +773*a(n-40) -130*a(n-41)

Example

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

Crossrefs

Sequence in context: A035893 A260049 A184025 * A035771 A107567 A238025

Adjacent sequences: A251433 A251434 A251435 * A251437 A251438 A251439

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved