A345955 Number of isomorphism classes of indecomposable Fano Bott manifolds of complex dimension n.
1, 1, 3, 7, 21, 60, 189, 595, 1948, 6455, 21804, 74464, 257311, 896874, 3151564, 11148982, 39680010, 141969156, 510352307, 1842370850, 6676349598, 24277171876, 88556616799, 323959047186, 1188237214539, 4368874535437, 16099389598907, 59449932709972, 219953954227839
Offset: 1
Keywords
Links
- Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, and Seonjeong Park, On the enumeration of Fano Bott manifolds, arXiv:2106.12788 [math.AG], 2021. See Table 1 p. 8.
- Frank Harary and George E. Uhlenbeck, On the number of Husimi trees. I, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 315-322.
Crossrefs
Cf. A003080.
Formula
G.f.: (x/2)*(F(x^2)+F(x)^2) where F(x) is the g.f. of A003080 (see the equation (1) in [Harary-Uhlenbeck] or [Cho-Lee-Masuda-Park, Lemma 4.3]).
Comments