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

1,1

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

Mathematica

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

Crossrefs

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

Sequence in context: A296874 A134691 A139182 * A320673 A081646 A215908

Adjacent sequences: A294294 A294295 A294296 * A294298 A294299 A294300

Keyword

nonn

Author

Robert Price, Oct 27 2017

Status

approved