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A105152 Number of sum of squares representations of n^2 in n dimensions disregarding order and sign. 6
1, 1, 1, 2, 2, 4, 9, 13, 25, 52, 94, 195, 354, 691, 1341, 2514, 4746, 8984, 16639, 31031, 57421, 105091, 192266, 349765, 632223, 1138114, 2043082, 3642712, 6474196, 11462149, 20189285, 35427948, 61987644, 107928280, 187336851, 324080969, 558451251, 959214488 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
David A. Corneth, Table of n, a(n) for n = 0..500 (first 201 terms from Alois P. Heinz)
EXAMPLE
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.
MATHEMATICA
<< NumberTheory`NumberTheoryFunctions`; Table[Length@SumOfSquaresRepresentations[k, k^2], {k, 16}]
CROSSREFS
Main diagonal of A255212.
Sequence in context: A351351 A160126 A257515 * A066346 A175390 A054233
KEYWORD
nonn
AUTHOR
Wouter Meeussen, Apr 10 2005
EXTENSIONS
a(18)-a(20) from Robert G. Wilson v, Apr 12 2005
a(0), a(21)-a(37) from Alois P. Heinz, Feb 16 2015
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)