A294308 Integers with precisely seven partitions into sums of four squares of nonnegative numbers.

82, 98, 100, 102, 106, 108, 118, 125, 129, 132, 133, 134, 135, 161, 163, 173, 183, 197, 199, 204, 211, 212, 215, 236, 263, 328, 392, 400, 408, 424, 432, 472, 528, 536, 816, 848, 944, 1312, 1568, 1600, 1632, 1696, 1728, 1888, 2112, 2144, 3264, 3392, 3776

Offset

1,1

Comments

A002635(a(n)) = 7.

Links

Robert Price, Table of n, a(n) for n = 1..74

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@650, f@#==7 &] (* Vincenzo Librandi, Oct 28 2017 *)

Crossrefs

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

Sequence in context: A099067 A304891 A316573 * A025361 A296809 A223085

Adjacent sequences: A294305 A294306 A294307 * A294309 A294310 A294311

Keyword

nonn

Author

Robert Price, Oct 27 2017

Status

approved