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A184240 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^2*x(i)^2 equal to n^2*k^2 15

%I

%S 1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,2,1,1,1,1,1,5,4,2,1,1,2,2,3,5,

%T 4,1,1,1,1,2,15,15,41,7,3,1,1,1,2,11,24,31,36,19,3,1,1,3,1,30,43,213,

%U 119,199,47,4,1,1,2,5,5,47,176,356,555,420,71,2,1,1,2,3,79,88,706,962,2531,2138

%N T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^2*x(i)^2 equal to n^2*k^2

%C Table starts

%C .1..1...1....1....1.....1.....1......1......1.......1.......1.......1.......1

%C .1..1...1....1....1.....1.....1......1......1.......1.......1.......1.......2

%C .1..1...2....1....1.....2.....1......1......3.......2.......2.......2.......2

%C .1..1...1....1....2.....2.....2......1......5.......3.......3.......2.......4

%C .2..2...5....3...15....11....30......5.....79......30......99......30.....129

%C .1..4...5...15...24....43....47.....88....155.....251.....249.....349.....507

%C .2..4..41...31..213...176...706....571...2355....1508....5431....3445...10802

%C .1..7..36..119..356...962..2108...3719...6688...13801...22721...31805...53339

%C .3.19.199..555.2531..5920.19178..32608..85718..133989..284012..450961..850956

%C .3.47.420.2138.9710.32442.97714.229978.570177.1186420.2444060.4476795.8278231

%H R. H. Hardin, <a href="/A184240/b184240.txt">Table of n, a(n) for n = 1..393</a>

%e Some solutions for n=6 k=5

%e ..4....2....0....0....0....4....0....4....4....0....0....0....0....0....0....0

%e ..2....4....2....5....4....5....4....0....4....2....5....5....3....4....0....4

%e ..2....0....4....0....4....4....4....4....4....4....4....0....4....0....0....2

%e ..4....4....1....4....1....2....4....2....0....2....4....5....3....5....0....5

%e ..0....0....4....4....2....0....4....2....2....2....4....4....0....4....0....4

%e ..4....4....3....2....4....4....1....4....4....4....0....0....4....1....5....0

%Y Column 1 is A030273

%K nonn,tabl

%O 1,13

%A _R. H. Hardin_ Jan 10 2011

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Last modified September 27 12:51 EDT 2021. Contains 347688 sequences. (Running on oeis4.)