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A233644 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 2 (2 maximizes T(1,1)) 9
24, 90, 90, 324, 534, 324, 1188, 3004, 3004, 1188, 4320, 17424, 26192, 17424, 4320, 15768, 99380, 238570, 238570, 99380, 15768, 57456, 572192, 2118568, 3455622, 2118568, 572192, 57456, 209520, 3277236, 19123682, 48384788, 48384788, 19123682 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......24........90..........324...........1188.............4320

......90.......534.........3004..........17424............99380

.....324......3004........26192.........238570..........2118568

....1188.....17424.......238570........3455622.........48384788

....4320.....99380......2118568.......48384788.......1060656512

...15768....572192.....19123682......694104494......24003655980

...57456...3277236....170872144.....9797170648.....531400908604

..209520..18825580...1536664586...139850230232...11957878063196

..763776.107963840..13763062452..1981047775126..265950544067684

.2784672.619734876.123586823454.28211321138046.5965795563741028

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +6*a(n-2)

k=2: a(n) = 6*a(n-1) +9*a(n-2) -67*a(n-3) +26*a(n-4) +81*a(n-5) -48*a(n-6) +2*a(n-7)

k=3: [order 13]

k=4: [order 31]

k=5: [order 66]

EXAMPLE

Some solutions for n=3 k=4

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

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

..1..1..0..1..0....0..0..0..0..0....0..0..1..1..1....1..1..1..1..1

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

CROSSREFS

Sequence in context: A044592 A211632 A305888 * A010012 A256718 A233637

Adjacent sequences:  A233641 A233642 A233643 * A233645 A233646 A233647

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 14 2013

STATUS

approved

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Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)