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%I #8 Dec 18 2022 07:08:28
%S 2,2,2,2,12,2,2,20,12,2,2,32,68,48,2,2,48,120,146,38,2,2,64,224,448,
%T 258,128,2,2,88,344,912,874,756,92,2,2,112,552,1646,2674,2498,1012,
%U 282,2,2,136,752,2812,5272,6900,4280,1866,182,2,2,168,1100,4564,10554,17812
%N T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n
%H R. H. Hardin, <a href="/A226398/b226398.txt">Table of n, a(n) for n = 1..97</a>
%e Table starts
%e .2...2....2.....2.....2......2......2.....2......2.....2.....2....2...2.2
%e .2..12...20....32....48.....64.....88...112....136...168...208..232.280
%e .2..12...68...120...224....344....552...752...1100..1398..1904.2356
%e .2..48..146...448...912...1646...2812..4564...6826..9996.14208
%e .2..38..258...874..2674...5272..10554.18170..30814.48204
%e .2.128..756..2498..6900..17812..37358.72000.130722
%e .2..92.1012..4280.15614..41428.109062
%e .2.282.1866.10992.37804.112060
%e .2.182.3762.18566.74606
%e .2.540.5020.32056
%e Some solutions for n=3 k=4
%e .-3....1...-4...-3...-1...-4....3...-3...-4...-1...-3...-4...-3...-1....2...-2
%e ..0....3...-1...-3....2...-1....3....1...-3....1...-3...-1...-1....1....3....1
%e ..2....4....1....0....3....0....3....4....2....3....2....3....0....4....3....4
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 06 2013