A294711 Numbers that are the sum of three squares (square 0 allowed) in exactly eight ways.

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

Offset

1,1

Comments

These are the numbers for which A000164(a(n)) = 8.

a(n) is the n-th 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: A239339 A352224 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