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%I #5 Mar 31 2012 12:35:59
%S 1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,2,2,2,2,1,1,1,1,2,2,
%T 3,1,1,1,1,2,3,5,6,8,3,1,1,1,1,3,5,16,30,12,3,1,1,1,2,3,11,38,68,69,
%U 21,4,1,1,1,1,2,7,50,126,244,230,47,2,1,1,1,2,3,18,69,319,763,1106,662,117,7,1,1
%N T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^2*x(i)^3 equal to n^2*k^3
%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.......1
%C .1..1...1....1....1....1.....1.....1......1......1......1......1.......1
%C .1..2...1....2....1....2.....1.....2......1......2......1......2.......1
%C .2..2...2....2....3....3.....3.....2......3......4......4......4.......2
%C .1..2...2....5....5...11.....7....18.....15.....26.....37.....47......50
%C .2..3...6...16...38...50....69...139....188....284....336....550.....608
%C .1..8..30...68..126..319...574..1056...1637...2680...3831...6128....8009
%C .3.12..69..244..763.1602..3336..7826..12904..23558..36719..62495...93074
%C .3.21.230.1106.3133.9343.23562.54515.104508.205011.373576.655153.1053794
%H R. H. Hardin, <a href="/A184318/b184318.txt">Table of n, a(n) for n = 1..264</a>
%e All solutions for n=6 k=5
%e ..2....0....0....0....0
%e ..5....1....0....3....2
%e ..2....4....0....3....3
%e ..1....1....0....4....2
%e ..4....4....0....5....5
%e ..4....4....5....0....3
%Y Column 1 is A030273
%K nonn,tabl
%O 1,14
%A _R. H. Hardin_ Jan 10 2011
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