A085525 a(n) = n^(2*n + 2).

0, 1, 64, 6561, 1048576, 244140625, 78364164096, 33232930569601, 18014398509481984, 12157665459056928801, 10000000000000000000000, 9849732675807611094711841, 11447545997288281555215581184, 15502932802662396215269535105521, 24201432355484595421941037243826176

Offset

0,3

Comments

a(n) is the number of labeled deterministic finite automata with n states, 2 letters, and one start and one accept state. - Anand Jain, Mar 20 2025

Links

Table of n, a(n) for n=0..14.

Maple

a:=n->mul(n^2, k=0..n):seq(a(n), n=0..14); # Zerinvary Lajos, Jan 26 2008

Mathematica

Table[n^(2n+2), {n, 0, 20}] (* Harvey P. Dale, Jun 04 2021 *)

Prog

(PARI) a(n) = n^(2*n + 2); \\ Michel Marcus, Jan 16 2019

Crossrefs

Cf. A070691.

Equals A062206*A000290.

Sequence in context: A222100 A223265 A266631 * A349506 A264188 A333583

Adjacent sequences: A085522 A085523 A085524 * A085526 A085527 A085528

Keyword

nonn

Author

N. J. A. Sloane, Jul 05 2003

Status

approved