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Search: id:A105152
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| A105152 |
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Number of sum of squares representations of n^2 in n dimensions disregarding order and sign. |
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+0
1
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| 1, 1, 2, 2, 4, 9, 13, 25, 52, 94, 195, 354, 691, 1341, 2514, 4746, 8984, 16639, 31031, 57421
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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a(5)=4 since we can write 5^2 as 0^2+0^2+0^2+0^2+5^2, 0^2+0^2+0^2+3^2+4^2, 0^2+1^2+2^2+2^2+4^2, 2^2+2^2+2^2+2^2+3^2.
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MATHEMATICA
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<< NumberTheory`NumberTheoryFunctions`; Table[Length@SumOfSquaresRepresentations[k, k^2], {k, 16}]
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CROSSREFS
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Sequence in context: A005141 A021982 A019822 this_sequence A066346 A054233 A054231
Adjacent sequences: A105149 A105150 A105151 this_sequence A105153 A105154 A105155
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KEYWORD
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nonn
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), Apr 10 2005
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EXTENSIONS
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a(18), a(19) & a(20) from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 12 2005
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