A294311 Integers with precisely ten partitions into sums of four squares of nonnegative numbers.

130, 138, 153, 154, 171, 180, 182, 195, 196, 201, 213, 214, 217, 228, 229, 238, 241, 244, 247, 249, 253, 254, 257, 259, 269, 276, 277, 281, 295, 299, 303, 308, 317, 319, 332, 335, 347, 428, 431, 520, 552, 616, 720, 728, 784, 856, 912, 952, 976, 1016, 1104

Offset

1,1

Comments

A002635(a(n)) = 10.

Links

Robert Price, Table of n, a(n) for n = 1..98

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@#==10 &] (* Vincenzo Librandi, Oct 28 2017 *)

Crossrefs

Cf. A001156, A002635, A006431, A025428, A180149, A245022, A294282, A294297, A293175, A294308, A294309, A294310.

Sequence in context: A163555 A025373 A025364 * A252369 A252362 A331629

Adjacent sequences: A294308 A294309 A294310 * A294312 A294313 A294314

Keyword

nonn

Author

Robert Price, Oct 27 2017

Status

approved