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 A347845 a(n) is the number of (strict) chains of subspaces with ends 0 and (F_8)^n. 1
 1, 10, 804, 518376, 2674194448, 110368339035808, 36440751353074277952, 96254339565438079064819328, 2033964285682509941820879401890048, 343839935881726495233403720783311789640192 (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} A347490(n, L) * A036038(len(L), sig(L)), where sig(L) is the partition composed by the part multiplicities of L. EXAMPLE a(3) = 804 = 1 * 1 + 73 * 2 + 657 * 1, counting: the unrefined chain 0 < (F_8)^3; 73 chains 0 < V < (F_8)^3, with dim(V) = 1; another 73 chains 0 < V < (F_8)^3, with dim(V) = 2; and 657 chains 0 < V_1 < V_2 < (F_8)^3. CROSSREFS Cf. A289545, A347490, A036038. Sequence in context: A322918 A233170 A211913 * A006440 A054944 A272854 Adjacent sequences: A347842 A347843 A347844 * A347846 A347847 A347848 KEYWORD nonn AUTHOR Álvar Ibeas, Sep 15 2021 STATUS approved

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Last modified September 22 10:00 EDT 2023. Contains 365520 sequences. (Running on oeis4.)