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A347846 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_9)^n. 1
1, 11, 1093, 979163, 7895396653, 572984959186643, 374244678702477629605, 2199939020346263706461674955, 116387990444553949414146511586296381, 55417662962428710787068813831544886356769891 (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} A347491(n, L) * A036038(len(L), sig(L)), where sig(L) is the partition composed by the part multiplicities of L.

EXAMPLE

a(3) = 1093 = 1 * 1 + 91 * 2 + 910 * 1, counting:

the unrefined chain 0 < (F_9)^3;

91 chains 0 < V < (F_9)^3, with dim(V) = 1; another

91 chains 0 < V < (F_9)^3, with dim(V) = 2; and

910 chains 0 < V_1 < V_2 < (F_9)^3.

CROSSREFS

Cf. A289545, A347491, A036038.

Sequence in context: A227323 A126197 A090814 * A319424 A153435 A266787

Adjacent sequences:  A347843 A347844 A347845 * A347847 A347848 A347849

KEYWORD

nonn

AUTHOR

Álvar Ibeas, Sep 15 2021

STATUS

approved

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Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)