A294310 Integers with precisely nine partitions into sums of four squares of nonnegative numbers.

90, 146, 166, 174, 185, 187, 205, 206, 207, 209, 219, 220, 221, 223, 231, 235, 251, 260, 271, 287, 316, 359, 360, 380, 584, 664, 696, 824, 880, 1040, 1264, 1440, 1520, 2336, 2656, 2784, 3296, 3520, 4160, 5056, 5760, 6080, 9344, 10624, 11136, 13184, 14080

Offset: 1

Author

Robert Price, Oct 27 2017

Keywords

• nonn

Comments

A002635(a(n)) = 9.

Links

• Robert Price, Table of n, a(n) for n = 1..60
• D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
• Index entries for sequences related to sums of squares

Crossrefs

Cf. A001156, A002635, A006431, A025428, A180149, A245022, A294282, A294297.

Programs

Mathematica

f[n_]:=Length@PowersRepresentations[n, 4, 2]; Select[Range@850, f@#==9 &] (* Vincenzo Librandi, Oct 28 2017 *)