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Number of 4-tuples (x,y,z,t) of nonnegative integers such that x^2+y^3+z^4+t^5 = n.
5

%I #9 Mar 13 2023 10:20:22

%S 1,4,6,4,2,3,3,1,1,4,6,4,2,2,1,0,2,7,8,3,1,2,1,0,2,6,7,5,5,4,1,1,4,8,

%T 7,2,3,7,5,1,2,5,5,4,6,5,1,1,3,7,7,3,5,6,2,0,2,5,5,4,5,2,0,2,6,11,9,3,

%U 4,6,2,0,2,5,5,3,4,3,1,2,4,10,11,7,6,4,2,1,1,6,9,7,5,3,1,1,4,8,8,3,4

%N Number of 4-tuples (x,y,z,t) of nonnegative integers such that x^2+y^3+z^4+t^5 = n.

%H T. D. Noe, <a href="/A135911/b135911.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.

%Y Cf. A045634, A135910, A135912.

%Y Cf. A111151 (n such that a(n)=0).

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Mar 07 2008