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%I #5 Mar 31 2012 12:35:59
%S 1,1,1,1,1,2,1,1,3,2,1,1,2,5,3,1,1,3,5,8,4,1,1,5,10,19,17,5,1,1,5,14,
%T 32,51,31,6,1,1,5,15,39,116,130,63,8,1,2,3,14,92,238,368,359,129,10,1,
%U 1,5,28,101,436,915,1235,946,244,12,1,1,10,23,146,715,1993,3532,4321,2333
%N T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i*x(i)^2 equal to n*k^2
%C Table starts
%C ..1...1....1.....1.....1......1......1.......1.......1.......1........1
%C ..1...1....1.....1.....1......1......1.......1.......2.......1........1
%C ..2...3....2.....3.....5......5......5.......3.......5......10........5
%C ..2...5....5....10....14.....15.....14......28......23......46.......36
%C ..3...8...19....32....39.....92....101.....146.....255.....255......315
%C ..4..17...51...116...238....436....715....1160....1829....2466.....3591
%C ..5..31..130...368...915...1993...3818....6805...11052...18352....28860
%C ..6..63..359..1235..3532...9478..19257...38560...77476..126541...210018
%C ..8.129..946..4321.15165..43638.109623..248861..513211..997735..1828762
%C .10.244.2333.13396.56094.187235.541179.1376999.3121413.6729888.13453502
%H R. H. Hardin, <a href="/A184441/b184441.txt">Table of n, a(n) for n = 1..643</a>
%e Some solutions for n=6 k=5
%e ..4....5....3....5....1....5....4....2....2....1....1....3....3....5....5....4
%e ..2....2....2....0....1....1....2....2....5....4....3....5....5....4....4....1
%e ..5....2....3....0....2....5....1....4....2....3....0....3....5....1....2....2
%e ..0....3....5....0....1....1....4....4....1....2....0....4....2....1....3....2
%e ..3....3....0....5....5....2....1....2....4....2....5....0....0....4....3....4
%e ..1....2....1....0....1....2....3....1....0....3....1....0....0....1....0....2
%Y Column 1 is A000009
%K nonn,tabl
%O 1,6
%A _R. H. Hardin_ Jan 14 2011
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