A184303 - OEIS

%I #5 Mar 31 2012 12:35:59

%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,2,1,1,1,2,2,1,5,

%T 2,1,1,1,1,1,1,5,4,5,3,1,1,1,1,5,11,19,18,9,1,1,1,1,3,4,24,21,65,52,

%U 12,1,1,1,2,1,5,29,65,167,179,84,28,3,1,1,1,2,7,31,82,410,616,567,243,52,4,1,1,2

%N T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^3*x(i)^2 equal to n^3*k^2

%C Table starts

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

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

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

%C .1..1..1...1....1....5.....4.....5......7.....10......7......27......10......27

%C .2..2..5...5...11...24....29....31.....74....111....150.....193.....264.....361

%C .1..2..4..19...21...65....82...278....261....551....650....1608....1339....2645

%C .1..5.18..65..167..410...819..1516...3278...5370...9033...15333...22188...31688

%C .3..9.52.179..616.1659..4062..8664..19403..35173..69020..109702..196935..296114

%C .1.12.84.567.2308.7845.21900.56728.127011.274731.540876.1010383.1831113.3190779

%H R. H. Hardin, <a href="/A184303/b184303.txt">Table of n, a(n) for n = 1..267</a>

%e All solutions for n=6 k=5

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

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

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

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

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

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

%Y Column 1 is A030272

%K nonn,tabl

%O 1,21

%A _R. H. Hardin_ Jan 10 2011