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Number of strings of numbers x(i=1..n) in 0..4 with sum i*x(i)^4 equal to n*256
1

%I #5 Mar 31 2012 12:36:01

%S 1,1,2,2,3,13,33,113,433,2358,8535,28389,112039,427748,1769874,

%T 6610091,24128241,90190764,331582813,1222929244,4421062767,

%U 15812600521,56305580500,198730488338,696900040653,2421645299793,8352195108762

%N Number of strings of numbers x(i=1..n) in 0..4 with sum i*x(i)^4 equal to n*256

%C Column 4 of A184848

%H R. H. Hardin, <a href="/A184843/b184843.txt">Table of n, a(n) for n = 1..43</a>

%e All solutions for n=5

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Jan 23 2011