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A347843
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a(n) is the number of (strict) chains of subspaces with ends 0 and (F_5)^n.
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2
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1, 7, 249, 44643, 40065301, 179833594207, 4036127700341649, 452932494435315724443, 254139954749268142006053901, 712988623255130761190069046824407, 10001434425838325885839124865408303623049
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = Sum_{L partition of n} A347488(n, L) * A036038(len(L), sig(L)), where sig(L) is the partition composed by the part multiplicities of L.
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EXAMPLE
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a(3) = 249 = 1 * 1 + 31 * 2 + 186 * 1, counting:
the unrefined chain 0 < (F_5)^3;
31 chains 0 < V < (F_5)^3, with dim(V) = 1; another
31 chains 0 < V < (F_5)^3, with dim(V) = 2; and
186 chains 0 < V_1 < V_2 < (F_5)^3.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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