A294297 Integers with precisely five partitions into sums of four squares of nonnegative numbers.

50, 52, 54, 58, 70, 73, 74, 75, 76, 84, 85, 86, 89, 91, 93, 101, 103, 109, 111, 113, 127, 131, 140, 142, 143, 151, 167, 191, 200, 208, 216, 232, 280, 296, 304, 336, 344, 560, 568, 800, 832, 864, 928, 1120, 1184, 1216, 1344, 1376, 2240, 2272, 3200, 3328, 3456

Offset: 1

Author

Robert Price, Oct 27 2017

Keywords

• nonn

Comments

A002635(a(n)) = 5.

Links

• Robert Price, Table of n, a(n) for n = 1..81
• 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.

Programs

Mathematica

f[n_] := Length@ PowersRepresentations[n, 4, 2]; Select[ Range@ 3500, f@# == 5 &] (* Robert G. Wilson v, Oct 27 2017 *)