A356084 Matula-Goebel number of the complete quaternary (4-ary) tree of n levels.

1, 16, 7890481, 379723559137648771815613388050801

Offset: 1

Author

Kevin Ryde, Jul 27 2022

Keywords

• nonn
• more

Examples

			For n=3, the complete quaternary tree of 3 levels is
              7890481
        /     /      \     \      a(4) = prime(16)^4
     16      16      16      16        = 7890481
   // \\   // \\   // \\   // \\
  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
		

Crossrefs

Cf. A007097, A356082 (binary), A356083 (ternary).

Programs

PARI

a(n) = my(ret=1); for(i=2,n, ret=prime(ret)^4); ret;

Formula

a(n) = prime(a(n-1))^4, for n>=2.