A293175 Integers with precisely six partitions into sums of four squares of nonnegative numbers.

66, 81, 97, 99, 105, 110, 115, 121, 123, 124, 137, 139, 141, 149, 155, 156, 158, 159, 164, 179, 188, 239, 264, 284, 440, 496, 624, 632, 656, 752, 1056, 1136, 1760, 1984, 2496, 2528, 2624, 3008, 4224, 4544, 7040, 7936, 9984, 10112, 10496, 12032, 16896, 18176

Offset

1,1

Comments

A002635(a(n)) = 6.

Links

Table of n, a(n) for n=1..48.

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@ 19000, f@# == 6 &] (* Robert G. Wilson v, Oct 27 2017 *)

Crossrefs

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

Sequence in context: A128896 A109750 A127654 * A032485 A257029 A223734

Adjacent sequences: A293172 A293173 A293174 * A293176 A293177 A293178

Keyword

nonn

Author

Robert Price, Oct 27 2017

Status

approved