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a(n) is the number of n-gons in A000940 that are asymmetric.
0

%I #42 Nov 01 2022 07:15:01

%S 0,0,0,1,15,121,1026,8696,81515,827282,9200052

%N a(n) is the number of n-gons in A000940 that are asymmetric.

%F a(n) = A000940(n) - A342533(n).

%F a(p) = ((((p-1)! + 1)/p) + p - 2 - (2^((p-1)/2)*((p-1)/2)!))/4 for prime p. See A007619.

%e Of the A000940(6) = 12 hexagons, 11 have symmetry and 1 is asymmetric, so a(6)=1.

%Y Cf. A000940, A342533.

%K nonn,more

%O 3,5

%A _Ian Mooney_, Oct 05 2022