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A369526
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.
0
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, 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, 1, 1, 1, 1, 1, 768, 41, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1
OFFSET
1,2
EXAMPLE
T(8,3) = 2 subsets {1}, {8} of {1..8} with a cube average.
Table begins:
1, 1, 1, 1, 1, ...
2, 1, 1, 1, 1, ...
5, 1, 1, 1, 1, ...
8, 2, 1, 1, 1, ...
15, 4, 1, 1, 1, ...
26, 10, 1, 1, 1, ...
45, 20, 1, 1, 1, ...
76, 26, 2, 1, 1, ...
135, 31, 4, 1, 1, ...
238, 35, 10, 1, 1, ...
425, 41, 32, 1, 1, ...
768, 63, 106, 1, 1, ...
1399, 143, 310, 1, 1, ...
2570, 399, 760, 1, 1, ...
4761, 1083, 1520, 1, 1, ...
8856, 2554, 2522, 2, 1, ...
16567, 5078, 3630, 4, 1, ...
31138, 8596, 4708, 10, 1, ...
58733, 12772, 5670, 32, 1, ...
111164, 17222, 6484, 118, 1, ...
CROSSREFS
Sequence in context: A256541 A342919 A066421 * A206563 A299779 A323954
KEYWORD
tabl,nonn
AUTHOR
Jean-Marc Rebert, Jan 25 2024
STATUS
approved