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A347847 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_11)^n. 1
1, 13, 1863, 2939835, 51032042341, 9744480919457833, 20467619608367348894343, 472899301427912499856338638715, 120188439043897767650882899915804254541, 336007833514175643082885509533867247163277824513 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 30 13:23 EDT 2022. Contains 357105 sequences. (Running on oeis4.)