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A180243
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.
2
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, 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, 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
OFFSET
1,5
COMMENTS
The three terms of the sum and/or their bases can be the same.
LINKS
EXAMPLE
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.
CROSSREFS
Sequence in context: A104578 A316827 A286628 * A326728 A330944 A064918
KEYWORD
nonn
AUTHOR
Carmine Suriano, Aug 19 2010
STATUS
approved