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 A082168 a(n) = A006690(n)/n^3. 1
 1, 7, 295, 33251, 7319436, 2669857476, 1459913038884, 1118904543734724, 1145415466062268695, 1510492370204314777345, 2494718462461802382223714 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Valery A. Liskovets, The number of initially connected automata, Kibernetika, (Kiev), No3 (1969), 16-19; Engl. transl.: Cybernetics, v.4 (1969), 259-262. LINKS Table of n, a(n) for n=1..11. Valery A. Liskovets, Exact enumeration of acyclic automata, Proc. 15th Conf. "Formal Power Series and Algebr. Combin. (FPSAC'03)", 2003. Valery A. Liskovets, Exact enumeration of acyclic deterministic automata, Discrete Appl. Math., 154, No.3 (2006), 537-551. FORMULA a(n) := A006690(n)/n^3 MATHEMATICA b[1] = 1; b[n_] := b[n] = n^(3n)/(n-1)! - Sum[n^(3(n-i)) b[i]/(n-i)!, {i, 1, n-1}]; a[n_] := b[n]/n^3; Array[a, 11] (* Jean-François Alcover, Aug 28 2019 *) CROSSREFS Cf. A006690. Sequence in context: A137435 A220241 A041851 * A362658 A096348 A281435 Adjacent sequences: A082165 A082166 A082167 * A082169 A082170 A082171 KEYWORD easy,nonn AUTHOR Valery A. Liskovets, Apr 09 2003 STATUS approved

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Last modified March 4 07:29 EST 2024. Contains 370522 sequences. (Running on oeis4.)