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A294297 Integers with precisely five partitions into sums of four squares of nonnegative numbers. 6

%I #12 Oct 29 2017 13:07:34

%S 50,52,54,58,70,73,74,75,76,84,85,86,89,91,93,101,103,109,111,113,127,

%T 131,140,142,143,151,167,191,200,208,216,232,280,296,304,336,344,560,

%U 568,800,832,864,928,1120,1184,1216,1344,1376,2240,2272,3200,3328,3456

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

%C A002635(a(n)) = 5.

%H Robert Price, <a href="/A294297/b294297.txt">Table of n, a(n) for n = 1..81</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@ 3500, f@# == 5 &] (* _Robert G. Wilson v_, Oct 27 2017 *)

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

%K nonn

%O 1,1

%A _Robert Price_, Oct 27 2017

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Last modified August 4 04:52 EDT 2024. Contains 374905 sequences. (Running on oeis4.)