A294282 Integers with precisely four partitions into sums of four squares of nonnegative numbers.

34, 36, 42, 45, 49, 57, 61, 63, 65, 67, 68, 69, 77, 78, 83, 87, 94, 107, 116, 119, 136, 144, 168, 272, 312, 376, 464, 544, 576, 672, 1088, 1248, 1504, 1856, 2176, 2304, 2688, 4352, 4992, 6016, 7424, 8704, 9216, 10752, 17408, 19968, 24064, 29696, 34816, 36864, 43008, 69632, 79872, 96256

Offset

1,1

Comments

A002635(a(n)) = 4.

Links

Table of n, a(n) for n=1..54.

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@850, f@#==4 &] (* Vincenzo Librandi, Oct 28 2017 *)

Crossrefs

Cf. A002635, A006431, A180149, A245022.

Sequence in context: A270311 A257315 A045561 * A067190 A306119 A218006

Adjacent sequences: A294279 A294280 A294281 * A294283 A294284 A294285

Keyword

nonn

Author

Robert Price, Oct 26 2017

Status

approved