The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A082160 Deterministic completely defined acyclic automata with 3 inputs and n+1 transient labeled states including a unique state having all transitions to the absorbing state. 3
 1, 7, 315, 45682, 15646589, 10567689552, 12503979423607, 23841011541867520, 68835375121428936153, 286850872894190847235840, 1660638682341609286358474579, 12947089879912710544534553836032 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This is the first column of the array A082172. LINKS V. A. Liskovets, Exact enumeration of acyclic automata, Proc. 15th Conf. "Formal Power Series and Algebr. Combin. (FPSAC'03)", 2003. V. A. Liskovets, Exact enumeration of acyclic deterministic automata, Discrete Appl. Math., 154, No.3 (2006), 537-551. FORMULA a(n)=b_3(n) where b_3(0) := 1, b_3(n) := sum(binomial(n, i)*(-1)^(n-i-1)*((i+2)^3-1)^(n-i)*b_3(i), i=0..n-1), n>0. MATHEMATICA a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, i] (-1)^(n - i - 1) ((i + 2)^3 - 1)^(n - i) a[i], {i, 0, n - 1}]; Table[a[n], {n, 0, 11}] (* Jean-François Alcover, Aug 29 2019 *) CROSSREFS Cf. A082159, A082158, A082172. Sequence in context: A171148 A219267 A244851 * A220278 A163437 A109059 Adjacent sequences:  A082157 A082158 A082159 * A082161 A082162 A082163 KEYWORD easy,nonn AUTHOR Valery A. Liskovets, Apr 09 2003 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)