

A294711


Numbers that are the sum of three squares (square 0 allowed) in exactly eight ways.


3



369, 374, 446, 461, 486, 509, 530, 549, 566, 621, 641, 666, 677, 686, 710, 749, 770, 789, 797, 818, 821, 825, 833, 849, 869, 882, 902, 945, 954, 962, 969, 971, 981, 1010, 1014, 1017, 1022, 1029, 1069, 1085, 1098, 1146, 1157, 1174, 1221, 1233, 1242, 1245
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OFFSET

1,1


COMMENTS

These are the numbers for which A000164(a(n)) = 8.
a(n) is the nth largest number which has a representation as a sum of three integer squares (square 0 allowed), in exactly eight 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

Robert Price, Table of n, a(n) for n = 1..1701


MATHEMATICA

Select[Range[0, 1000], Length[PowersRepresentations[#, 3, 2]] == 8 &]


CROSSREFS

Cf. A000164, A005875, A000378, A094942, A224442, A224443, A294577, A294594, A294595, A294710.
Sequence in context: A239411 A239339 A294597 * A062041 A205730 A251132
Adjacent sequences: A294708 A294709 A294710 * A294712 A294713 A294714


KEYWORD

nonn


AUTHOR

Robert Price, Nov 07 2017


EXTENSIONS

Updated Mathematica program to Version 11. by Robert Price, Nov 01 2019


STATUS

approved



