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Number of strings of numbers x(i=1..5) in 0..n with sum i^3*x(i) equal to 125*n.
1

%I #7 Sep 05 2022 19:42:19

%S 1,1,1,5,10,19,33,51,78,111,166,226,305,402,522,665,835,1038,1278,

%T 1549,1872,2237,2653,3118,3648,4255,4912,5666,6479,7385,8387,9484,

%U 10693,12003,13436,14994,16679,18510,20476,22601,24894,27349,29986,32803,35820,39037

%N Number of strings of numbers x(i=1..5) in 0..n with sum i^3*x(i) equal to 125*n.

%C Row 5 of A184257.

%H R. H. Hardin, <a href="/A184260/b184260.txt">Table of n, a(n) for n = 1..200</a>

%e All solutions for n=5

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

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

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

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

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

%Y Cf. A184257.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 10 2011