A054051 Number of nonisomorphic connected binary n-state automata.

1, 9, 119, 2662, 79154, 2962062, 132536919, 6904606698, 410379198542, 27406396140548, 2031843175944876, 165592123280454675, 14715292998356150461, 1416127682894394114138, 146723247630856311651736, 16284075762705841850155071, 1927434528878738556115924081, 242361176791511465207020367116

Offset: 1

Author

Vladeta Jovovic, Apr 29 2000

Keywords

• nonn

Comments

Inverse Euler transform of A054050.

References

• F. Harary and E. Palmer, Graphical Enumeration, 1973. [See Section 6.5, pp. 146-150.]

Links

• Christian G. Bower, PARI programs for transforms, 2007.
• Michael A. Harrison, A census of finite automata, Canad. J. Math., 17, No. 1 (1965), 100-113. [See Theorem 6.1 (p. 107) with k = 2 and p = 1 and Theorem 7.2 (p. 110). See also Table I on p. 110.]
• N. J. A. Sloane, Maple programs for transforms, 2001-2020.

Crossrefs

Cf. A054050, A054745, A054746.

Programs

PARI

/* This program is a modification of Christian G. Bower's PARI program for the inverse Euler transform from the link above. */
lista(nn) = {local(A=vector(nn+1)); for(n=1, nn+1, A[n]=if(n==1, 1, A054050(n-1))); local(B=vector(#A-1, n, 1/n), C); A[1] = 1; C = log(Ser(A)); A=vecextract(A, "2.."); for(i=1, #A, A[i] = polcoeff(C, i)); A = dirdiv(A, B); } \\ Petros Hadjicostas, Mar 08 2021

Extensions

Terms a(16)-a(18) from Petros Hadjicostas, Mar 08 2021