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A234083 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1)) 9
96, 476, 476, 2352, 2900, 2352, 12152, 18048, 18048, 12152, 63136, 122532, 139512, 122532, 63136, 335536, 849760, 1219868, 1219868, 849760, 335536, 1789760, 6162980, 10952176, 14098264, 10952176, 6162980, 1789760, 9652704, 45072784 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......96.......476........2352........12152..........63136..........335536

.....476......2900.......18048.......122532.........849760.........6162980

....2352.....18048......139512......1219868.......10952176.......105917092

...12152....122532.....1219868.....14098264......167360104......2200773076

...63136....849760....10952176....167360104.....2595084608.....45902295216

..335536...6162980...105917092...2200773076....45902295216...1118287561704

.1789760..45072784..1033754752..29189609288...812052658856..27031988237608

.9652704.336800596.10502679784.411909391600.15766466760808.737597105103228

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) +22*a(n-2) -56*a(n-3) -120*a(n-4) +32*a(n-5) +64*a(n-6)

k=2: [order 26]

k=3: [order 97]

EXAMPLE

Some solutions for n=3 k=4

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

..1..3..0..3..1....1..3..1..3..0....0..1..0..1..0....1..3..1..3..1

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

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

CROSSREFS

Sequence in context: A233811 A233717 A233710 * A234076 A337303 A216372

Adjacent sequences:  A234080 A234081 A234082 * A234084 A234085 A234086

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified December 6 04:52 EST 2021. Contains 349562 sequences. (Running on oeis4.)