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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified November 17 11:02 EST 2019. Contains 329226 sequences. (Running on oeis4.)