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Integers with precisely six partitions into sums of four squares of nonnegative numbers.
2

%I #17 Oct 27 2017 20:23:53

%S 66,81,97,99,105,110,115,121,123,124,137,139,141,149,155,156,158,159,

%T 164,179,188,239,264,284,440,496,624,632,656,752,1056,1136,1760,1984,

%U 2496,2528,2624,3008,4224,4544,7040,7936,9984,10112,10496,12032,16896,18176

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

%C A002635(a(n)) = 6.

%H D. H. Lehmer, <a href="http://www.jstor.org/stable/2305380">On the Partition of Numbers into Squares</a>, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.

%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>

%t f[n_] := Length@ PowersRepresentations[n, 4, 2]; Select[ Range@ 19000, f@# == 6 &] (* _Robert G. Wilson v_, Oct 27 2017 *)

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

%K nonn

%O 1,1

%A _Robert Price_, Oct 27 2017