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 A059529 For 1 < x, each c(i) is "multiply" (*) or "divide" (/); a(n) is number of choices for c(0),...,c(n-1) so that 1 c(0) x^1 c(1) x^2,.., c(n-1) x^n is an integer. 10
 1, 1, 2, 5, 9, 16, 32, 68, 135, 256, 512, 1059, 2110, 4096, 8192, 16745, 33425, 65536, 131072, 266254, 531924, 1048576, 2097152, 4244214, 8482454, 16777216, 33554432, 67741466, 135417620, 268435456, 536870912, 1082015434, 2163280087, 4294967296, 8589934592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS From Gus Wiseman, Jul 04 2019: (Start) Also the number of subsets of {1..n} whose sum is less than or equal to the sum of their complement. For example, the a(0) = 1 through a(5) = 16 subsets are: {} {} {} {} {} {} {1} {1} {1} {1} {2} {2} {2} {3} {3} {3} {1,2} {4} {4} {1,2} {5} {1,3} {1,2} {1,4} {1,3} {2,3} {1,4} {1,5} {2,3} {2,4} {2,5} {3,4} {1,2,3} {1,2,4} (End) LINKS FORMULA a(0)=1; for 0=Plus@@#&]], {n, 0, 10}] (* Gus Wiseman, Jul 04 2019 *) CROSSREFS Cf. A058524, A058377. Cf. A053632, A063865, A326173, A326174, A326175. Sequence in context: A039946 A130752 A309331 * A271318 A119676 A348836 Adjacent sequences: A059526 A059527 A059528 * A059530 A059531 A059532 KEYWORD nonn AUTHOR Naohiro Nomoto, Feb 16 2001 EXTENSIONS More terms from Alois P. Heinz, Jun 13 2019 STATUS approved

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Last modified March 30 14:20 EDT 2023. Contains 361622 sequences. (Running on oeis4.)