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A294308 Integers with precisely seven partitions into sums of four squares of nonnegative numbers. 2

%I #12 Oct 29 2017 13:07:44

%S 82,98,100,102,106,108,118,125,129,132,133,134,135,161,163,173,183,

%T 197,199,204,211,212,215,236,263,328,392,400,408,424,432,472,528,536,

%U 816,848,944,1312,1568,1600,1632,1696,1728,1888,2112,2144,3264,3392,3776

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

%C A002635(a(n)) = 7.

%H Robert Price, <a href="/A294308/b294308.txt">Table of n, a(n) for n = 1..74</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@650, f@#==7 &] (* _Vincenzo Librandi_, Oct 28 2017 *)

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

%K nonn

%O 1,1

%A _Robert Price_, Oct 27 2017

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Last modified August 17 01:14 EDT 2024. Contains 375198 sequences. (Running on oeis4.)