A347847 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_11)^n.

1, 13, 1863, 2939835, 51032042341, 9744480919457833, 20467619608367348894343, 472899301427912499856338638715, 120188439043897767650882899915804254541, 336007833514175643082885509533867247163277824513

Offset

1,2

Links

Álvar Ibeas, Table of n, a(n) for n = 1..40

Formula

a(n) = Sum_{L partition of n} A347492(n, L) * A036038(len(L), sig(L)), where sig(L) is the partition composed by the part multiplicities of L.

Example

a(3) = 1863 = 1 * 1 + 133 * 2 + 1596 * 1, counting:
the unrefined chain 0 < (F_11)^3;
133 chains 0 < V < (F_11)^3, with dim(V) = 1; another
133 chains 0 < V < (F_11)^3, with dim(V) = 2; and
1596 chains 0 < V_1 < V_2 < (F_11)^3.

Crossrefs

Cf. A289545, A347492, A036038.

Sequence in context: A201177 A015513 A062314 * A340139 A263221 A177914

Adjacent sequences: A347844 A347845 A347846 * A347848 A347849 A347850

Keyword

nonn

Author

Álvar Ibeas, Sep 15 2021

Status

approved