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 A347841 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_3)^n. 2
 1, 5, 79, 3851, 567733, 251790113, 335313799327, 1340040415899803, 16067553466179577453, 577986341168068075687337, 62375143109859674070751394743, 20194282336027244435564571244298243, 19614041602745899032342581715038226919285 (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} 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

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Last modified May 28 05:47 EDT 2022. Contains 354112 sequences. (Running on oeis4.)