A061194 Minimum positive value of lcm{1,...,n}*(s_1/1 + ... + s_n/n), where each s_i equals 1 or -1.

1, 1, 1, 1, 7, 3, 11, 13, 11, 11, 23, 23, 607, 251, 251, 125, 97, 97, 3767, 3767, 3767, 2285, 24319, 24319, 71559, 4261, 13703, 13703, 872843, 872843, 17424097, 13828799, 902339, 7850449, 7850449, 7850449, 10683197, 68185267, 37728713, 37728713, 740674333

Offset

1,5

Comments

Nonnegative by considering the largest power of 2 up to n.

Links

Table of n, a(n) for n=1..41.

Example

1/1 - 1/2 - 1/3 - 1/4 - 1/5 + 1/6 + 1/7 = 11/420 = 11/lcm(1,2,3,4,5,6,7), so a(7) <= 11; no other choice of signs yields 1/420, ..., 10/420, so a(7)=11.

Crossrefs

See also A061195.

Sequence in context: A257328 A361416 A076569 * A248280 A255772 A195159

Adjacent sequences: A061191 A061192 A061193 * A061195 A061196 A061197

Keyword

nonn

Author

Greg Martin (gerg(AT)math.toronto.edu), Apr 19 2001

Extensions

More terms from Naohiro Nomoto, Jun 24 2001

a(23)-a(41) from Giovanni Resta, Jun 12 2016

Status

approved