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A094509
Numbers which are numerators of at least one reduced rational sum{k=1 to m} 1/k^n, taken over all positive integers m and n.
1
1, 3, 5, 9, 11, 17, 25, 33, 49, 65, 129, 137, 205, 251, 257, 363, 513, 761, 1025, 1393, 2035, 2049, 4097, 5269, 5369, 7129, 7381, 8051, 8193, 16385, 22369, 28567, 32769, 47449, 65537, 83711, 86021, 131073, 256103, 257875, 262145
OFFSET
1,2
COMMENTS
It appears that the only numbers that arise twice are 1 and 49.
EXAMPLE
49 is in the list since (m=3,n=2) gives 1/1^2+1/2^2+1/3^2 = 1+1/4+1/9= 49/36 and independently also since (m=6,n=1) gives 1/1+1/2+...+1/6 = 49/20
CROSSREFS
Cf. A094515.
Sequence in context: A296768 A302596 A230721 * A120811 A340287 A123069
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, based on a suggestion of Leroy Quet, Jun 05 2004
EXTENSIONS
More terms from Hugo van der Sanden, Jun 05, 2004
The sequence of denominators could be added too. - N. J. A. Sloane.
The additional terms were calculated by Hugo van der Sanden based on the assumption that the numerator for (m=1, n=p) is always greater than that for (m=1, n<p) for all prime p - confirmation or disproof of that assumption would be helpful.
STATUS
approved