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 A184441 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 15

%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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Last modified June 9 23:59 EDT 2023. Contains 363183 sequences. (Running on oeis4.)