A380383 Numbers k such that the minimum number of votes A380377(k) can be attained with an even number of districts.

2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 18, 20, 21, 28, 33, 34, 35, 40, 41, 42, 54, 55, 56, 62, 63, 75, 76, 77, 88, 99, 130, 131, 132, 164, 165, 206, 207, 208, 209, 210, 300, 341, 342

Offset

1,1

Comments

342 is almost certainly the last term of this sequence.

Numbers k such that A380377(k) = A380378(k,m) for some even m.

Links

Table of n, a(n) for n=1..43.

Example

A380377(342) = 95 can be obtained with either 36 districts 18*9 + 18*10 with 5 supporters in each of the 18 9-voter districts and 5 supporters in one of the 10-voter districts, or 37 districts 28*9 + 9*10 with 5 supporters in 19 of the 9-voter districts. Since one solution has an even number of districts, 342 is a term.

Crossrefs

Cf. A380377, A380378.

Sequence in context: A248562 A117672 A194383 * A186326 A139364 A364000

Adjacent sequences: A380380 A380381 A380382 * A380385 A380386 A380388

Keyword

nonn,more,new

Author

Pontus von Brömssen, Jan 24 2025

Status

approved