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Integers with precisely eight partitions into sums of four squares of nonnegative numbers.
1

%I #12 Oct 28 2017 11:45:29

%S 114,117,122,126,145,147,148,157,165,169,172,175,177,181,190,193,203,

%T 227,233,311,456,488,504,592,688,760,1824,1952,2016,2368,2752,3040,

%U 7296,7808,8064,9472,11008,12160,29184,31232,32256,37888,44032,48640

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

%C A002635(a(n)) = 8.

%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@850, f@#==8 &] (* _Vincenzo Librandi_, Oct 28 2017 *)

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

%K nonn

%O 1,1

%A _Robert Price_, Oct 27 2017