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A102596
Number of n-node labeled oriented graphs whose underlying graphs are mating graphs, cf. A006024.
4
1, 1, 2, 14, 396, 34748, 9281784, 7454765736, 17754713559696, 124916711439302928, 2595833697671445752352, 159598823327470451154007008, 29105164897431888477084463394496, 15784299558159474546700473641953798080, 25515085085573055700779453120708128026732416
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k>=0} 2^k * A369283(n,k). - Andrew Howroyd, Jan 20 2024
PROG
(PARI) permcount, edges defined in A369283.
a(n) = {my(s=0); forpart(p=n, s += permcount(p)*(-1)^(n-#p)*edges(p, w->1 + 2^w)); s} \\ Andrew Howroyd, Jan 20 2024
CROSSREFS
Cf. A006024, A102579 (digraphs), A102597 (connected), A102599, A369283.
Sequence in context: A011809 A228852 A242876 * A354465 A050561 A346082
KEYWORD
nonn
AUTHOR
Goran Kilibarda, Zoran Maksimovic, Vladeta Jovovic, Jan 22 2005
EXTENSIONS
a(0)=1 prepended and a(13) onwards from Andrew Howroyd, Jan 20 2024
STATUS
approved