%I #9 Mar 13 2023 10:20:01
%S 1,3,3,1,1,2,1,0,1,3,3,1,1,1,0,0,2,5,3,0,1,1,0,0,2,4,3,2,3,1,0,1,2,3,
%T 1,0,2,3,1,0,1,1,1,2,3,1,0,1,0,2,2,1,3,2,0,0,0,1,1,1,1,0,0,1,3,5,3,0,
%U 2,1,0,0,1,3,1,0,1,1,0,1,3,5,4,2,1,1,1,0,1,4,4,2,2,1,0,0,1,2,3,0,2
%N Number of triples (x,y,z) of nonnegative integers such that x^2+y^3+z^4 = n.
%H T. D. Noe, <a href="/A135910/b135910.txt">Table of n, a(n) for n = 0..10000</a>
%H K. B. Ford, <a href="https://doi.org/10.1090/S0894-0347-96-00193-2">The representation of numbers as sums of unlike powers II</a>, J. Amer. Math. Soc., 9 (1996), 919-940.
%p M:=10; M2:=M^2; t0:=array(0..M2);
%p for i from 0 to M2 do t0[i]:=0; od:
%p for a from 0 to M do for b from 0 to M do for c from 0 to M do
%p i:=a^2+b^3+c^4; if i <= M2 then t0[i]:=t0[i]+1; fi;
%p od: od: od: [seq(t0[i],i=0..M2)];
%Y Cf. A045634, A135911, A135912.
%K nonn
%O 0,2
%A _N. J. A. Sloane_, Mar 07 2008