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A203934 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 9
396, 4356, 4356, 47916, 106596, 47916, 527076, 2543436, 2543436, 527076, 5797836, 60873876, 140120856, 60873876, 5797836, 63776196, 1456391916, 7748585676, 7748585676, 1456391916, 63776196, 701538156, 34845401556, 428652828396 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........396...........4356.............47916................527076

.......4356.........106596...........2543436..............60873876

......47916........2543436.........140120856............7748585676

.....527076.......60873876........7748585676.........1012872412476

....5797836.....1456391916......428652828396.......132923754354276

...63776196....34845401556....23714024087016.....17475349695161076

..701538156...833700866796..1311917257647036...2297197186864332876

.7716919716.19946896311636.72578467770478956.302046352349437619676

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for row k:

k=1: a(n) = 36*11^n

k=2: a(n) = 21*a(n-1) +70*a(n-2)

k=3: a(n) = 61*a(n-1) -315*a(n-2) +50*a(n-3)

k=4: a(n) = 91*a(n-1) +7335*a(n-2) -264625*a(n-3) -85500*a(n-4) +10470000*a(n-5) +2475000*a(n-6) -20750000*a(n-7)

k=5: (order 12 recurrence)

EXAMPLE

Some solutions for n=4 k=3

..3..1..5..2....5..4..3..2....1..1..0..4....3..4..0..5....1..0..3..3

..0..3..1..5....1..5..4..3....5..1..1..0....2..3..4..0....3..1..0..3

..3..5..3..1....4..1..5..4....1..4..1..1....5..2..3..4....0..3..1..0

..1..3..3..3....4..4..1..5....2..1..3..1....5..5..2..3....3..2..3..1

..2..1..3..5....2..4..4..1....0..2..1..3....1..5..5..2....1..3..4..3

CROSSREFS

Sequence in context: A275171 A028299 A205628 * A203927 A205330 A092720

Adjacent sequences:  A203931 A203932 A203933 * A203935 A203936 A203937

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2012

STATUS

approved

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Last modified January 26 22:05 EST 2022. Contains 350601 sequences. (Running on oeis4.)