A054562 Number of labeled pure 2-complexes on n nodes (0-simplexes) with 5 2-simplexes and 13 1-simplexes.

540, 65625, 1272320

Offset: 6

Author

Vladeta Jovovic, Apr 10 2000

Keywords

• more
• nonn
• bref

Comments

Number of {T_1,T_2,...,T_k} where T_i,i=1..k are 3-subsets of an n-set such that {D | D is 2-subset of T_i for some i=1..k} has l elements; k=5,l=13.

References

• V. Jovovic, On the number of two-dimensional simplicial complexes (in Russian), Metody i sistemy tekhnicheskoy diagnostiki, Vypusk 16, Mezhvuzovskiy zbornik nauchnykh trudov, Izdatelstvo Saratovskogo universiteta, 1991.

Crossrefs

Cf. A054557.

Formula

a(n)=540*C(n, 6)+61845*C(n, 7)+762440*C(n, 8)+...