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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

%I #4 Dec 30 2013 16:47:20

%S 88,454,454,2056,3980,2056,10076,28840,28840,10076,46804,247394,

%T 301776,247394,46804,226072,1912554,4255966,4255966,1912554,226072,

%U 1060636,16146124,49077768,110820444,49077768,16146124,1060636,5086576,127371542

%N 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

%C Table starts

%C ........88.........454...........2056.............10076...............46804

%C .......454........3980..........28840............247394.............1912554

%C ......2056.......28840.........301776...........4255966............49077768

%C .....10076......247394........4255966.........110820444..........2206072560

%C .....46804.....1912554.......49077768........2206072560.........66213980208

%C ....226072....16146124......678552840.......56840484142.......2946351948550

%C ...1060636...127371542.....8058197452.....1188633109208......92618616941276

%C ...5086576..1063565190...109362379520....30017584986988....4021006772274008

%C ..23991808..8483787204..1321852668660...646382184496458..129993575205738872

%C .114597900.70296753566.17679539166428.16032029328041480.5514507861007613210

%H R. H. Hardin, <a href="/A234777/b234777.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

%F 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)

%F k=2: [order 23]

%F k=3: [order 52]

%e Some solutions for n=2 k=4

%e ..1..2..1..2..1....3..1..3..4..4....3..2..1..2..1....3..2..0..2..2

%e ..0..2..3..2..3....2..2..3..2..3....1..2..0..3..4....0..1..1..1..3

%e ..1..1..1..1..4....0..1..0..1..4....0..2..1..2..1....2..2..3..2..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 30 2013

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)