A184259 - OEIS

%I #5 Mar 31 2012 12:35:58

%S 1,2,2,3,4,5,8,13,17,22,26,32,43,51,64,80,93,110,124,144,167,189,216,

%T 247,276,310,342,379,422,464,512,565,617,674,728,790,860,925,1000,

%U 1082,1160,1247,1330,1423,1523,1621,1728,1844,1958,2079,2198,2326,2464,2598,2744

%N Number of strings of numbers x(i=1..4) in 0..n with sum i^3*x(i) equal to 64*n

%C Row 4 of A184257

%H R. H. Hardin, <a href="/A184259/b184259.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+a(n-8)-2*a(n-9)+a(n-10)+a(n-64)-2*a(n-65)+a(n-66)-a(n-72)+2*a(n-73)-a(n-74)

%e All solutions for n=5

%e ..2....0....5....4

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

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

%e ..4....5....4....3

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 10 2011