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A233691 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal 9
32, 108, 108, 356, 548, 356, 1188, 2628, 2628, 1188, 3940, 13324, 19248, 13324, 3940, 13108, 64756, 145512, 145512, 64756, 13108, 43540, 327588, 1095164, 1723204, 1095164, 327588, 43540, 144740, 1596200, 8284072, 19588516, 19588516, 8284072 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......32.......108.........356..........1188............3940..............13108

.....108.......548........2628.........13324...........64756.............327588

.....356......2628.......19248........145512.........1095164............8284072

....1188.....13324......145512.......1723204........19588516..........233101508

....3940.....64756.....1095164......19588516.......350631128.........6324816860

...13108....327588.....8284072.....233101508......6324816860.......180309108120

...43540...1596200....62569964....2662026560....113995582540......4934227972036

..144740...8064200...473123164...31690526268...2057970474012....140915217790172

..480964..39342364..3575792884..362156082980..37133987692488...3861307527285204

.1598548.198550888.27033634800.4311121344720.670381088418328.110305940795395912

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..283

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +5*a(n-2) -2*a(n-3)

k=2: [order 9]

k=3: [order 15]

k=4: [order 41]

k=5: [order 85]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A167982 A063498 A173951 * A337786 A233684 A218068

Adjacent sequences:  A233688 A233689 A233690 * A233692 A233693 A233694

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 14 2013

STATUS

approved

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Last modified November 29 15:46 EST 2021. Contains 349416 sequences. (Running on oeis4.)