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A369284 Number of point-determining graphs on n unlabeled nodes with no isolated vertices. 1
1, 0, 1, 1, 4, 12, 66, 522, 7525, 198389, 9816493, 903092383, 153733197077, 48444061519659, 28363852590188969, 30996574583203962119, 63502062798039684795935, 244852576446682783722245053, 1783161675023082411226026322655, 24603891461799405333437840036319801 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
Point-determining graphs are also called mating graphs. See A004110 for references.
The inverse Euler transform of this sequence gives A004108 except with a(1) = 0 and a(2) = 1.
LINKS
FORMULA
a(n) = A004110(n) - a(n-1) for n > 0.
G.f.: B(x)/(1 + x) where B(x) is the g.f. of A004110.
CROSSREFS
Cf. A004108, A004110 (point-determining graphs).
Sequence in context: A222612 A339134 A000843 * A358409 A180386 A302434
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Jan 18 2024
STATUS
approved

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Last modified July 13 04:25 EDT 2024. Contains 374266 sequences. (Running on oeis4.)