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Empirical for diagonal:
diagonal: a(n) = 3*a(n-1) -2*a(n-2) for n>5
Empirical for column k:
k=1: a(n) = 3*a(n-1) -2*a(n-2) for n>5
k=2: a(n) = 3*a(n-1) -2*a(n-2) for n>5
k=3: a(n) = 3*a(n-1) -2*a(n-2) for n>4
k=4: a(n) = 3*a(n-1) -2*a(n-2) for n>3
k=5: a(n) = 3*a(n-1) -2*a(n-2) for n>3
k=6: a(n) = 3*a(n-1) -2*a(n-2) for n>3
k=7: a(n) = 3*a(n-1) -2*a(n-2) for n>3
Empirical for row n:
n=1: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=2: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=3: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=4: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=5: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=6: a(n) = 3*a(n-1) -2*a(n-2) for n>5
n=7: a(n) = 3*a(n-1) -2*a(n-2) for n>5
Empirical for diagonal:
diagonal: 9*2^n + 12 for n>3
Empirical for columns:
k=1: 9*2^(n-1) + 37 for n>3
k=2: 9*2^(n-1) + 36 for n>3
k=3: 9*2^(n-1) + 49 for n>2
k=4: 9*2^(n-1) + 84 for n>1
k=5: 9*2^(n-1) + 156 for n>1
k=6: 9*2^(n-1) + 300 for n>1
k=7: 9*2^(n-1) + 588 for n>1
Empirical for rows:
n=1: 9*2^(k-1) + 37 for k>3
n=2: 9*2^(k-1) + 30 for k>3
n=3: 9*2^(k-1) + 48 for k>3
n=4: 9*2^(k-1) + 84 for k>3
n=5: 9*2^(k-1) + 156 for k>3
n=6: 9*2^(k-1) + 300 for k>3
n=7: 9*2^(k-1) + 588 for k>3
Empirical: T(n,k) = 9*2(n-1) + 9*2^(k-1) + c, where
rows
n=1 c=28 for k>3
n>1 c=12 for k>3
columns
k=1 c=28 for n>3
k=2 c=18 for n>3
k=3 c=13 for n>2
k>3 c=12 for n>1
summary table of c
..-2..12..24..28..28..28..28..28..28..28
..12..22..16..12..12..12..12..12..12..12
..24..19..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
..28..18..13..12..12..12..12..12..12..12
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