A184318 - OEIS

A184318

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.

%I #7 Nov 29 2024 17:22:31

%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..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