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Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i)^4 equal to 8*n^4.
0

%I #6 Sep 25 2023 23:02:58

%S 6,25,45,113,183,388,476,810,1300,1671,2367,3609,3980,5198,7471,8576,

%T 10419,14992,15210,18919,25028,27560,31199,41822,42799,50603,65284,

%U 66683,74594

%N Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i)^4 equal to 8*n^4.

%C Row 8 of A184848.

%e Some solutions for n=5

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

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

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

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

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

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

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

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

%Y Cf. A184848.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 23 2011