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Numbers k such that the minimum number of votes A380377(k) can be attained with an even number of districts.
2

%I #6 Jan 26 2025 21:02:48

%S 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,

%T 75,76,77,88,99,130,131,132,164,165,206,207,208,209,210,300,341,342

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

%C 342 is almost certainly the last term of this sequence.

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

%e 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.

%Y Cf. A380377, A380378.

%K nonn,more,new

%O 1,1

%A _Pontus von Brömssen_, Jan 24 2025