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A327474 Number of distinct means of subsets of {1..n}, where {} has mean 0. 6
1, 2, 4, 6, 10, 16, 26, 38, 56, 78, 106, 138, 180, 226, 284, 348, 420, 500, 596, 698, 818, 946, 1086, 1236, 1408, 1588, 1788, 2000, 2230, 2472, 2742, 3020, 3328, 3652, 3996, 4356, 4740, 5136, 5568, 6018, 6492, 6982, 7512, 8054, 8638, 9242, 9870, 10520, 11216 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..48.

FORMULA

a(n) = A135342(n) + 1.

EXAMPLE

The a(3) = 6 distinct means are 0, 1, 3/2, 2, 5/2, 3.

MATHEMATICA

Table[Length[Union[Mean/@Subsets[Range[n]]]], {n, 0, 10}]

CROSSREFS

The version for only nonempty subsets is A135342.

Cf. A000016, A051293, A065795, A082550, A327475, A327481.

Sequence in context: A006305 A067247 A017985 * A028488 A280341 A227572

Adjacent sequences:  A327471 A327472 A327473 * A327475 A327476 A327477

KEYWORD

nonn

AUTHOR

Gus Wiseman, Sep 13 2019

STATUS

approved

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Last modified September 27 12:30 EDT 2020. Contains 337380 sequences. (Running on oeis4.)