Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #36 Jan 28 2024 20:56:48
%S 1,2,1,5,1,1,8,1,1,1,15,2,1,1,1,26,4,1,1,1,1,45,10,1,1,1,1,1,76,20,1,
%T 1,1,1,1,1,135,26,1,1,1,1,1,1,1,238,31,2,1,1,1,1,1,1,1,425,35,4,1,1,1,
%U 1,1,1,1,1,768,41,10,1,1,1,1,1,1,1,1,1
%N Table read by upward antidiagonals: T(n,k) = number of nonempty subsets of {1..n} for which the average is the k-th power of an integer.
%e T(8,3) = 2 subsets {1}, {8} of {1..8} with a cube average.
%e Table begins:
%e 1, 1, 1, 1, 1, ...
%e 2, 1, 1, 1, 1, ...
%e 5, 1, 1, 1, 1, ...
%e 8, 2, 1, 1, 1, ...
%e 15, 4, 1, 1, 1, ...
%e 26, 10, 1, 1, 1, ...
%e 45, 20, 1, 1, 1, ...
%e 76, 26, 2, 1, 1, ...
%e 135, 31, 4, 1, 1, ...
%e 238, 35, 10, 1, 1, ...
%e 425, 41, 32, 1, 1, ...
%e 768, 63, 106, 1, 1, ...
%e 1399, 143, 310, 1, 1, ...
%e 2570, 399, 760, 1, 1, ...
%e 4761, 1083, 1520, 1, 1, ...
%e 8856, 2554, 2522, 2, 1, ...
%e 16567, 5078, 3630, 4, 1, ...
%e 31138, 8596, 4708, 10, 1, ...
%e 58733, 12772, 5670, 32, 1, ...
%e 111164, 17222, 6484, 118, 1, ...
%Y Cf. A051293, A369391.
%K tabl,nonn
%O 1,2
%A _Jean-Marc Rebert_, Jan 25 2024