A250998 Number of (4+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

2323, 18387, 111175, 590305, 2800667, 12340547, 51107941, 202138965, 769534821, 2842199370, 10235285328, 36098675795, 125089438788, 427039424933, 1439293239677, 4797698835380, 15839489469572, 51855865301042

Offset

1,1

Comments

Row 4 of A250994

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -8*a(n-2) -147*a(n-3) +369*a(n-4) +972*a(n-5) -3876*a(n-6) -2980*a(n-7) +22058*a(n-8) +1026*a(n-9) -81228*a(n-10) +27294*a(n-11) +209097*a(n-12) -119447*a(n-13) -392230*a(n-14) +285303*a(n-15) +549197*a(n-16) -457458*a(n-17) -581896*a(n-18) +523514*a(n-19) +469631*a(n-20) -436793*a(n-21) -289012*a(n-22) +266103*a(n-23) +135028*a(n-24) -116745*a(n-25) -47336*a(n-26) +35743*a(n-27) +12143*a(n-28) -7200*a(n-29) -2162*a(n-30) +850*a(n-31) +238*a(n-32) -44*a(n-33) -12*a(n-34)

Example

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

Crossrefs

Sequence in context: A137733 A205636 A347569 * A119735 A115933 A355420

Adjacent sequences: A250995 A250996 A250997 * A250999 A251000 A251001

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved