A011827 f-vectors for simplicial complexes of dimension at most 2 on at most n-1 vertices.

2, 3, 5, 10, 25, 70, 190, 471, 1060, 2189, 4203, 7592, 13027, 21400, 33868, 51901, 77334, 112423, 159905, 223062, 305789, 412666, 549034, 721075, 935896, 1201617, 1527463, 1923860, 2402535, 2976620, 3660760, 4471225, 5426026

Offset: 1

Author

Svante Linusson (linusson(AT)math.kth.se)

Keywords

• nonn

Crossrefs

Cf. A011826.

Formula

a(n+1)= (2*n^6 -6*n^5 +5*n^4 +60*n^3 -7*n^2 +306*n +720)/360 fits terms up to 5426026. [Frank Ellermann]

Empirical G.f.: -x*(x^6-7*x^5+25*x^4-32*x^3+26*x^2-11*x+2)/(x-1)^7. [Colin Barker, Sep 19 2012]