A356082 Matula-Goebel number of the complete binary tree of n levels.

1, 4, 49, 51529, 400034745289, 135016053798647886015597889

Offset

1,2

Comments

An estimate for a(7) is 7.304058*10^55. - Hugo Pfoertner, Jul 26 2022

Links

Table of n, a(n) for n=1..6.

Formula

a(n) = prime(a(n-1))^2, for n>=2.

Example

For n=3, the complete binary tree of 3 levels is
        49
      /    \     a(3) = prime(4)^2
    4       4         = 49
   / \     / \
  1   1   1   1

Prog

(PARI) a(n) = my(ret=1); for(i=2, n, ret=prime(ret)^2); ret;

Crossrefs

Cf. A006894 (Colijn-Plazzotta), A084107 (balanced binary).

Cf. A356083 (ternary), A356084 (quaternary).

Sequence in context: A087588 A027533 A048559 * A319139 A254543 A321590

Adjacent sequences: A356079 A356080 A356081 * A356083 A356084 A356085

Keyword

nonn,more

Author

Kevin Ryde, Jul 26 2022

Extensions

a(6) from Rémy Sigrist, Jul 26 2022

Status

approved