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A222169 T(n,k)=Number of nXk 0..4 arrays with entries increasing mod 5 by 0, 1 or 2 rightwards and downwards, starting with upper left zero 4
1, 3, 3, 9, 19, 9, 27, 121, 121, 27, 81, 771, 1665, 771, 81, 243, 4913, 22979, 22979, 4913, 243, 729, 31307, 317259, 690437, 317259, 31307, 729, 2187, 199497, 4380445, 20780181, 20780181, 4380445, 199497, 2187, 6561, 1271251, 60481881, 625649047 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

......1..........3..............9.................27.....................81

......3.........19............121................771...................4913

......9........121...........1665..............22979.................317259

.....27........771..........22979.............690437...............20780181

.....81.......4913.........317259...........20780181.............1366395515

....243......31307........4380445..........625649047............89948464453

....729.....199497.......60481881........18838482047..........5923189816253

...2187....1271251......835088891.......567241901289........390086038882651

...6561....8100769....11530288395.....17080173559277......25690815631493191

..19683...51620379...159201677509....514300085627023....1691995329032459285

..59049..328939577..2198138788809..15486061794514775..111434983000652039093

.177147.2096095523.30350271502115.466299978310573033.7339124863989795685471

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1)

k=2: a(n) = 7*a(n-1) -4*a(n-2)

k=3: a(n) = 16*a(n-1) -31*a(n-2) +10*a(n-3)

k=4: [order 10]

k=5: [order 25]

k=6: [order 70]

EXAMPLE

Some solutions for n=3 k=4

..0..1..3..3....0..2..3..3....0..1..2..4....0..1..3..4....0..0..0..1

..2..3..0..0....0..2..4..4....1..2..3..4....1..3..4..1....0..2..2..2

..4..0..0..0....2..4..4..0....1..2..3..4....3..4..4..1....0..2..2..3

CROSSREFS

Diagonal is A068748

Column 1 is A000244(n-1)

Column 2 is A138977

Column 3 is A138978

Column 4 is A138979

Sequence in context: A038221 A099465 A099094 * A222444 A206492 A007683

Adjacent sequences:  A222166 A222167 A222168 * A222170 A222171 A222172

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 10 2013

STATUS

approved

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Last modified January 29 01:54 EST 2020. Contains 331328 sequences. (Running on oeis4.)