A234777 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both

88, 454, 454, 2056, 3980, 2056, 10076, 28840, 28840, 10076, 46804, 247394, 301776, 247394, 46804, 226072, 1912554, 4255966, 4255966, 1912554, 226072, 1060636, 16146124, 49077768, 110820444, 49077768, 16146124, 1060636, 5086576, 127371542

Offset

1,1

Comments

Table starts

........88.........454...........2056.............10076...............46804

.......454........3980..........28840............247394.............1912554

......2056.......28840.........301776...........4255966............49077768

.....10076......247394........4255966.........110820444..........2206072560

.....46804.....1912554.......49077768........2206072560.........66213980208

....226072....16146124......678552840.......56840484142.......2946351948550

...1060636...127371542.....8058197452.....1188633109208......92618616941276

...5086576..1063565190...109362379520....30017584986988....4021006772274008

..23991808..8483787204..1321852668660...646382184496458..129993575205738872

.114597900.70296753566.17679539166428.16032029328041480.5514507861007613210

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +21*a(n-2) -a(n-3) -67*a(n-4) -10*a(n-5) +46*a(n-6)

k=2: [order 23]

k=3: [order 52]

Example

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

Crossrefs

Sequence in context: A241846 A064022 A116065 * A234770 A052049 A046378

Adjacent sequences: A234774 A234775 A234776 * A234778 A234779 A234780

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 30 2013

Status

approved