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A233883 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)) 8
24, 76, 76, 240, 300, 240, 760, 1224, 1224, 760, 2400, 5156, 6200, 5156, 2400, 7600, 22020, 33656, 33656, 22020, 7600, 24000, 95464, 178704, 251532, 178704, 95464, 24000, 76000, 415092, 1015656, 1768660, 1768660, 1015656, 415092, 76000, 240000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....24.......76........240.........760..........2400...........7600

.....76......300.......1224........5156.........22020..........95464

....240.....1224.......6200.......33656........178704........1015656

....760.....5156......33656......251532.......1768660.......14111768

...2400....22020.....178704.....1768660......15013864......160334028

...7600....95464....1015656....14111768.....160334028.....2431002508

..24000...415092....5566176...103547288....1417225464....28822097624

..76000..1819604...32573400...858513368...16134545712...467398305988

.240000..7964808..181919416..6440961128..147047775280..5678281493816

.760000.35055940.1082482200.54554580804.1750029730452.96535463946148

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=1: a(n) = 10*a(n-2)

k=2: a(n) = 3*a(n-1) +19*a(n-2) -60*a(n-3) +8*a(n-4) +36*a(n-5) -12*a(n-6)

k=3: a(n) = 56*a(n-2) -819*a(n-4) +2791*a(n-6) -3096*a(n-8) +961*a(n-10) -84*a(n-12)

k=4: [order 29]

k=5: [order 52]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A185940 A265424 A033572 * A291630 A195027 A325958

Adjacent sequences:  A233880 A233881 A233882 * A233884 A233885 A233886

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 17 2013

STATUS

approved

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Last modified July 25 15:30 EDT 2021. Contains 346291 sequences. (Running on oeis4.)