A226340 - OEIS

%I #8 Dec 18 2022 07:08:18

%S 2,2,3,2,14,4,2,22,23,5,2,34,74,67,6,2,50,130,193,100,7,2,66,242,480,

%T 419,202,8,2,90,362,972,1139,921,281,9,2,114,578,1736,2857,2973,1640,

%U 479,10,2,138,786,2962,5621,7951,6068,2951,636,11,2,170,1138,4733,11041,18509

%N T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some other -k..k vector equals n

%H R. H. Hardin, <a href="/A226340/b226340.txt">Table of n, a(n) for n = 1..96</a>

%e Table starts

%e ..2...2....2.....2.....2......2......2.....2.....2.....2.....2....2...2.2

%e ..3..14...22....34....50.....66.....90...114...138...170...210..234.282

%e ..4..23...74...130...242....362....578...786..1138..1442..1962.2418

%e ..5..67..193...480...972...1736...2962..4733..7063.10319.14629

%e ..6.100..419..1139..2857...5621..11041.18937.31901.49666

%e ..7.202..921..2973..7951..18509..38678.74349

%e ..8.281.1640..6068.19046..48341.114235

%e ..9.479.2951.12823.43667.125429

%e .10.636.4945.23590.91607

%e .11.971.7927.43620

%e Some solutions for n=3 k=4

%e .-2...-4...-2...-2...-2...-3...-2...-1....3...-2...-4...-4...-2...-3...-1...-4

%e ..1...-4...-1....1....1...-3....0....2....4...-2....1...-1...-1...-1....2....3

%e ..2....3....2....1....4...-3....1....3....4....1....2....2...-1....2....2....3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jun 04 2013