A250999 Number of (5+1)X(n+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

8726, 80133, 542834, 3184615, 16381510, 77449279, 340511877, 1418373594, 5646595120, 21681643406, 80767898505, 293418074506, 1043511916231, 3644840466407, 12535398096262, 42540767906823, 142704818347706

Offset

1,1

Comments

Row 5 of A250994

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -10*a(n-2) -209*a(n-3) +620*a(n-4) +1726*a(n-5) -8705*a(n-6) -5510*a(n-7) +66883*a(n-8) -16859*a(n-9) -335417*a(n-10) +263017*a(n-11) +1182147*a(n-12) -1412035*a(n-13) -3034442*a(n-14) +4816387*a(n-15) +5747998*a(n-16) -11783798*a(n-17) -7963725*a(n-18) +21708952*a(n-19) +7685226*a(n-20) -30847993*a(n-21) -4253331*a(n-22) +34225316*a(n-23) -465513*a(n-24) -29794693*a(n-25) +3618041*a(n-26) +20341865*a(n-27) -4007281*a(n-28) -10835065*a(n-29) +2669904*a(n-30) +4457443*a(n-31) -1215043*a(n-32) -1394074*a(n-33) +385295*a(n-34) +323675*a(n-35) -83384*a(n-36) -53777*a(n-37) +11638*a(n-38) +6012*a(n-39) -932*a(n-40) -402*a(n-41) +32*a(n-42) +12*a(n-43) for n>45

Example

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

Crossrefs

Sequence in context: A031852 A115614 A165630 * A214171 A067867 A234734

Adjacent sequences: A250996 A250997 A250998 * A251000 A251001 A251002

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved