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 A212352 Row sums of A047997. 7
 0, 1, 3, 9, 25, 75, 235, 759, 2521, 8555, 29503, 103129, 364547, 1300819, 4679471, 16952161, 61790441, 226451035, 833918839, 3084255127, 11451630043, 42669225171, 159497648599, 597950875255, 2247724108771, 8470205600639 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the number of nonempty subsets of {1..2n} with mean n, even bisection of A362046. - Gus Wiseman, Apr 15 2023 LINKS Table of n, a(n) for n=0..25. FORMULA From Gus Wiseman, Apr 15 2023: (Start) a(n) = A000980(n)/2 - 1. a(n) = A047653(n) - 1. a(n) = A133406(2n+1) - 1. a(n) = A362046(2n). (End) EXAMPLE From Gus Wiseman, Apr 15 2023: (Start) The a(1) = 1 through a(3) = 9 subsets: {1} {2} {3} {1,3} {1,5} {1,2,3} {2,4} {1,2,6} {1,3,5} {2,3,4} {1,2,3,6} {1,2,4,5} {1,2,3,4,5} (End) MATHEMATICA Table[Length[Select[Subsets[Range[2n]], Mean[#]==n&]], {n, 0, 6}] (* Gus Wiseman, Apr 15 2023 *) CROSSREFS Equals A047653(n) - 1. Row sums of A047997. For median instead of mean we have A079309, bisection of A361801. Even bisection of A362046, zero-based version A070925. A000980 counts nonempty subsets of {1..2n-1} with mean n. A007318 counts subsets by length. A327475 counts subsets with integer mean. A327481 counts subsets by mean. Cf. A000975, A013580, A024718, A057552, A133406, A361866. Sequence in context: A132835 A191354 A001189 * A198180 A101786 A354647 Adjacent sequences: A212349 A212350 A212351 * A212353 A212354 A212355 KEYWORD nonn AUTHOR N. J. A. Sloane, May 16 2012 STATUS approved

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Last modified September 23 12:40 EDT 2023. Contains 365551 sequences. (Running on oeis4.)