A294713 Numbers that are the sum of three squares (square 0 allowed) in exactly ten ways.

594, 626, 629, 734, 846, 914, 926, 929, 1001, 1026, 1041, 1097, 1125, 1190, 1193, 1209, 1214, 1229, 1241, 1265, 1289, 1326, 1329, 1382, 1386, 1409, 1433, 1490, 1505, 1509, 1521, 1530, 1581, 1637, 1689, 1691, 1713, 1725, 1730, 1739, 1749, 1754, 1770, 1778

Offset

1,1

Comments

These are the numbers for which A000164(a(n)) = 10.

a(n) is the n-th largest number which has a representation as a sum of three integer squares (square 0 allowed), in exactly ten 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..1835

Mathematica

Select[Range[0, 1000], Length[PowersRepresentations[#, 3, 2]] == 10 &]

Crossrefs

Cf. A000164, A005875, A000378, A094942, A224442, A224443, A294577, A294594, A294595, A294710, A294711, A294712.

Sequence in context: A185704 A025337 A294715 * A025338 A025330 A035138

Adjacent sequences: A294710 A294711 A294712 * A294714 A294715 A294716

Keyword

nonn

Author

Robert Price, Nov 07 2017

Extensions

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

Status

approved