%I
%S 1,1,2,2,2,3,3,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,22,23,25,27,30,
%T 32,34,37,39,41,44,46,48,51,54,57,60,63,66,69,72,75,78,82,86,89,93,97,
%U 100,104,108,113,117,121,126,130,134,139,143,147,152,157,162,167,172,177,182
%N Number of strings of numbers x(i=1..3) in 0..n with sum i^3*x(i) equal to 27*n.
%C Row 3 of A184257.
%H R. H. Hardin, <a href="/A184258/b184258.txt">Table of n, a(n) for n = 1..998</a>
%F Empirical: a(n) = 2*a(n1)  a(n2) + a(n27)  2*a(n28) + a(n29).
%F Empirical g.f.: x*(1  x + x^2  x^3 + x^5  x^6 + x^8 + x^18  x^20 + x^21  x^23 + x^24 + x^26  2*x^27 + x^28) / ((1  x)^3*(1 + x + x^2)*(1 + x^3 + x^6)*(1 + x^9 + x^18)).  _Colin Barker_, Apr 12 2018
%e All solutions for n=5:
%e ..3....0
%e ..3....0
%e ..4....5
%Y Cf. A184257.
%K nonn
%O 1,3
%A _R. H. Hardin_, Jan 10 2011
