A347841 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_3)^n.

1, 5, 79, 3851, 567733, 251790113, 335313799327, 1340040415899803, 16067553466179577453, 577986341168068075687337, 62375143109859674070751394743, 20194282336027244435564571244298243, 19614041602745899032342581715038226919285

Offset

1,2

Links

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

Formula

a(n) = Sum_{L partition of n} A347486(n, L) * A036038(len(L), sig(L)), where sig(L) is the partition composed by the part multiplicities of L.

Example

a(3) = 79 = 1 * 1 + 13 * 2 + 52 * 1, counting:
the unrefined chain 0 < (F_3)^3;
13 chains 0 < V < (F_3)^3, with dim(V) = 1; another
13 chains 0 < V < (F_3)^3, with dim(V) = 2; and
52 chains 0 < V_1 < V_2 < (F_3)^3.

Crossrefs

Cf. A289545, A347486, A036038.

Sequence in context: A293786 A141828 A134531 * A062250 A131284 A105917

Adjacent sequences: A347838 A347839 A347840 * A347842 A347843 A347844

Keyword

nonn

Author

Álvar Ibeas, Sep 15 2021

Status

approved