A063677 Size of largest subset of {A063676(1), ......., A063676(n)} with an integer arithmetic mean.

1, 1, 2, 3, 5, 5, 6, 7, 9, 9, 10, 11, 12, 14, 14, 14, 16, 17, 17, 19, 21, 21, 21, 23, 24, 26, 26, 27, 27, 29, 29, 31, 32, 34, 34, 35, 36, 36, 37, 39, 39, 40, 42, 42, 43, 44, 46, 47, 48, 49, 49, 51, 51, 53, 53, 55, 56, 57, 58, 58, 60, 61, 62, 63, 64, 65, 65, 67, 68, 68, 69, 71

Offset

1,3

Comments

0 <= n - a(n) <= 2, checked until n = 117 (true for all n?)

Links

Table of n, a(n) for n=1..72.

Example

The arithmetic mean of the first 7 A063676-elements is (1 + 2 + 4 + 7 + 11 + 16 + 24) / 7 = 65 / 7 which is not an integer; but skipping A063676(5) = 11 yields m = 54 / 6 = 9, so we have A063676(8) = A063676(7)+ m = 24 + 9 = 33 and a(7) = #{1, 2, 4, 7, 16, 24} = 6.

Crossrefs

A063676.

Sequence in context: A111164 A255347 A029910 * A078903 A296206 A079228

Adjacent sequences: A063674 A063675 A063676 * A063678 A063679 A063680

Keyword

nonn

Author

Reinhard Zumkeller, Jul 28 2001

Status

approved