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%I #9 Apr 03 2023 07:56:07
%S 0,0,0,0,2,0,1,1,3,0,0,2,0,0,0,0,2,1,2,0,3,1,2,1,2,0,0,3,0,0,1,1,4,0,
%T 2,0,2,2,2,0,1,2,0,1,4,2,3,0,0,0,4,1,4,1,5,0,2,0,2,2,3,0,1,0,5,3,2,3,
%U 3,3,2,2,5,1,5,0,4,1,1,2,5,3,1,3,1,0,4,2,3,1,3,0,3,0,5,1,3,2,2,2,1,0,4,0,12
%N a(n) = number of ways in which the square of n can be expressed as the sum of a square, a cube and a fourth power.
%C The three terms of the sum and/or their bases can be the same.
%H David A. Corneth, <a href="/A180243/b180243.txt">Table of n, a(n) for n = 1..10000</a>
%e a(9)=3 since 9^2 = 81 = 1^2+4^3+2^4 = 4^2+4^3+1^4 = 8^2+1^3+2^4.
%Y Cf. A180241, A180242.
%K nonn
%O 1,5
%A _Carmine Suriano_, Aug 19 2010
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