A233691 - OEIS

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

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

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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