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A294311 Integers with precisely ten partitions into sums of four squares of nonnegative numbers. 1

%I #10 Oct 29 2017 13:07:51

%S 130,138,153,154,171,180,182,195,196,201,213,214,217,228,229,238,241,

%T 244,247,249,253,254,257,259,269,276,277,281,295,299,303,308,317,319,

%U 332,335,347,428,431,520,552,616,720,728,784,856,912,952,976,1016,1104

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

%C A002635(a(n)) = 10.

%H Robert Price, <a href="/A294311/b294311.txt">Table of n, a(n) for n = 1..98</a>

%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@#==10 &] (* _Vincenzo Librandi_, Oct 28 2017 *)

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

%K nonn

%O 1,1

%A _Robert Price_, Oct 27 2017

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)