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A294595 Numbers that are the sum of three squares (square 0 allowed) in exactly six ways. 5
194, 209, 269, 281, 290, 297, 321, 326, 329, 342, 365, 386, 389, 401, 426, 434, 449, 459, 482, 485, 489, 497, 513, 531, 534, 542, 546, 554, 558, 561, 578, 601, 602, 633, 649, 659, 662, 665, 675, 678, 681, 693, 699, 705, 713, 714, 722, 737, 741, 747, 750, 754 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
These are the numbers for which A000164(a(n)) = 6.
a(n) is the n-th largest number which has a representation as a sum of three integer squares (square 0 allowed), in exactly six ways, if neither the order of terms nor the signs of the numbers to be squared are taken into account. The multiplicity of a(n) with order and signs taken into account is A005875(a(n)).
This sequence is a proper subsequence of A000378.
LINKS
MATHEMATICA
Select[Range[0, 1000], Length[PowersRepresentations[#, 3, 2]] == 6 &]
CROSSREFS
Sequence in context: A025333 A025325 A294578 * A248549 A278123 A158224
KEYWORD
nonn
AUTHOR
Robert Price, Nov 03 2017
EXTENSIONS
Updated Mathematica program to Version 11. by Robert Price, Nov 01 2019
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)