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Number of nonempty subsets of {1..n} whose elements have a square average.
2

%I #12 Jan 22 2024 19:27:06

%S 1,1,1,2,4,10,20,26,31,35,41,63,143,399,1083,2554,5078,8596,12772,

%T 17222,21792,27126,36538,62530,146701,412191,1178071,3156949,7703823,

%U 16992539,33946851,61840501,103674983,161604395,236759149,330078718,446073360,606337592

%N Number of nonempty subsets of {1..n} whose elements have a square average.

%H Alois P. Heinz, <a href="/A369391/b369391.txt">Table of n, a(n) for n = 1..200</a>

%e a(5) = 4 subsets: {1}, {4}, {3, 5} and {3, 4, 5}.

%Y Cf. A051293, A126024, A309160, A339454, A357355.

%K nonn

%O 1,4

%A _Ilya Gutkovskiy_, Jan 22 2024

%E a(24)-a(38) from _Alois P. Heinz_, Jan 22 2024