A235223 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both

59, 427, 427, 3037, 8029, 3037, 21693, 145669, 145669, 21693, 154811, 2667851, 6630699, 2667851, 154811, 1105027, 48751703, 306034401, 306034401, 48751703, 1105027, 7887229, 891368897, 14077755879, 35761397619, 14077755879, 891368897

Offset

1,1

Comments

Table starts

......59.........427...........3037.............21693................154811

.....427........8029.........145669...........2667851..............48751703

....3037......145669........6630699.........306034401...........14077755879

...21693.....2667851......306034401.......35761397619.........4160135051925

..154811....48751703....14077755879.....4160135051925......1222451522196205

.1105027...891368897...648127851943...484500703182059....359731584557407665

.7887229.16295474229.29833075851519.56410299169343241.105820498283776373809

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +9*a(n-2) -6*a(n-3) -2*a(n-4)

k=2: [order 8]

k=3: [order 21]

k=4: [order 59]

Example

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

Crossrefs

Sequence in context: A244772 A142604 A071771 * A235216 A284754 A125034

Adjacent sequences: A235220 A235221 A235222 * A235224 A235225 A235226

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 05 2014

Status

approved