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 A201496 T(n,k)=Number of nXk zero-sum -2..2 arrays with rows and columns lexicographically nondecreasing 8

%I

%S 1,3,3,5,29,5,8,226,226,8,12,1454,9331,1454,12,18,7815,301432,301432,

%T 7815,18,24,36487,7798656,50432052,7798656,36487,24,33,151593,

%U 168357815,6697376240,6697376240,168357815,151593,33,43,571539,3127432827

%N T(n,k)=Number of nXk zero-sum -2..2 arrays with rows and columns lexicographically nondecreasing

%C Table starts

%C ..1.......3............5................8..................12

%C ..3......29..........226.............1454................7815

%C ..5.....226.........9331...........301432.............7798656

%C ..8....1454.......301432.........50432052..........6697376240

%C .12....7815......7798656.......6697376240.......4585552158911

%C .18...36487....168357815.....732383803600....2571822263246639

%C .24..151593...3127432827...68110029402413.1219998885223727883

%C .33..571539..51118964623.5516712973977104

%C .43.1982705.747555368709

%C .55.6399842

%H R. H. Hardin, <a href="/A201496/b201496.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=3 k=3

%e .-2..1..2...-1..1..1...-2.-1..0...-2.-1..0...-2.-2.-1...-2.-2..1....0..0..1

%e ..0..0..1....1.-2.-1....0.-1..2...-1..2.-1...-2..2..2...-1..0..0....0..1.-1

%e ..2.-2.-2....2..1.-2....2..2.-2....1..1..1....0..1..2....1..1..2....2.-1.-2

%Y Column 1 is A001973

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 02 2011

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Last modified December 1 20:25 EST 2021. Contains 349435 sequences. (Running on oeis4.)