A250701 Number of (n+1)X(2+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

654, 4958, 30719, 160486, 735523, 3020711, 11354082, 39603227, 129764854, 403049071, 1195876182, 3410274979, 9395374116, 25113321720, 65362902075, 166156830176, 413619900804, 1010542241094, 2427848472870, 5745600307078

Offset

1,1

Comments

Column 2 of A250707

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -64*a(n-2) +112*a(n-3) +193*a(n-4) -1145*a(n-5) +1171*a(n-6) +2815*a(n-7) -7600*a(n-8) +620*a(n-9) +17570*a(n-10) -16376*a(n-11) -18514*a(n-12) +37522*a(n-13) +1693*a(n-14) -44011*a(n-15) +19988*a(n-16) +29252*a(n-17) -26851*a(n-18) -9189*a(n-19) +18134*a(n-20) -1082*a(n-21) -7142*a(n-22) +2176*a(n-23) +1569*a(n-24) -849*a(n-25) -139*a(n-26) +153*a(n-27) -9*a(n-28) -11*a(n-29) +2*a(n-30)

Example

Some solutions for n=4
..0..2..2....0..1..1....0..0..0....0..1..1....0..1..0....0..0..1....0..0..1
..1..1..3....2..0..3....1..2..3....1..1..1....1..0..2....1..0..1....0..0..2
..2..2..3....0..2..2....1..2..3....0..2..2....0..1..2....0..2..1....1..0..2
..1..3..2....0..2..3....1..3..3....2..2..3....0..1..2....2..1..2....0..2..2
..3..2..3....3..3..3....1..3..3....2..3..3....1..0..3....1..2..1....2..3..2

Crossrefs

Sequence in context: A188366 A255208 A060520 * A250158 A265737 A065759

Adjacent sequences: A250698 A250699 A250700 * A250702 A250703 A250704

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved