A294710 Numbers that are the sum of three squares (square 0 allowed) in exactly seven ways.

306, 314, 341, 441, 450, 458, 494, 506, 581, 585, 593, 605, 654, 657, 674, 698, 706, 726, 731, 738, 746, 773, 806, 842, 850, 873, 890, 891, 893, 894, 899, 901, 905, 906, 934, 978, 985, 998, 1011, 1013, 1019, 1050, 1058, 1061, 1067, 1073, 1086, 1094, 1101

Offset

1,1

Comments

These are the numbers for which A000164(a(n)) = 7.

a(n) is the n-th largest number which has a representation as a sum of three integer squares (square 0 allowed), in exactly seven 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..988

Mathematica

Select[Range[0, 1000], Length[PowersRepresentations[#, 3, 2]] == 7 &]

Crossrefs

Cf. A000164, A005875, A000378, A094942, A224442, A224443, A294577, A294594, A294595.

Sequence in context: A156168 A005951 A294596 * A206271 A236012 A158589

Adjacent sequences: A294707 A294708 A294709 * A294711 A294712 A294713

Keyword

nonn

Author

Robert Price, Nov 07 2017

Extensions

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

Status

approved