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%I #5 Jun 06 2013 07:03:05
%S 2,2,3,2,14,4,2,22,23,5,2,34,74,67,6,2,50,130,192,100,7,2,66,240,479,
%T 418,202,8,2,90,358,963,1123,921,281,9,2,114,566,1709,2841,2959,1631,
%U 479,10,2,138,766,2893,5567,7821,6041,2946,636,11,2,170,1112,4633,10865,18389
%N T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nondecreasing -k..k vector equals n
%C Table starts
%C ..2...2....2.....2......2......2......2......2.......2......2......2......2
%C ..3..14...22....34.....50.....66.....90....114.....138....170....210....234
%C ..4..23...74...130....240....358....566....766....1112...1408...1916...2362
%C ..5..67..192...479....963...1709...2893...4633....6895..10079..14273..19437
%C ..6.100..418..1123...2841...5567..10865..18583...31261..48727..75757.109221
%C ..7.202..921..2959...7821..18389..38225..73227..132057.225713.369579
%C ..8.281.1631..6041..18765..47291.113273.235677..465959.853593
%C ..9.479.2946.12820..43447.123883.313726.729507.1543005
%C .10.636.4945.23401..91139.285370.798824
%C .11.971.7898.43439.184470.642627
%H R. H. Hardin, <a href="/A226410/b226410.txt">Table of n, a(n) for n = 1..128</a>
%e Some solutions for n=3 k=4
%e .-2...-3...-2....1...-4....0...-1....0....1...-1...-1...-3...-2....0....1...-2
%e ..1....0....3....3...-4....0....0....2....1....1....3...-1....0....1....2....2
%e ..4....2....3....3....1....1....0....3....2....3....4....0....3....1....4....3
%Y Column 2 is A226334
%Y Row 2 is A226341
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jun 06 2013
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