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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 22 07:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)