A356083 Matula-Goebel number of the complete ternary tree of n levels.

1, 8, 6859, 328951971956791, 1658040970678649782777422161327743110829397625479

Offset: 1

Author

Kevin Ryde, Jul 27 2022

Keywords

• nonn
• more

Examples

			For n=3, the complete ternary tree of 3 levels is
         6859
      /   |   \     a(3) = prime(8)^3
    8     8     8        = 6859
   /|\   /|\   /|\
  1 1 1 1 1 1 1 1 1
		

Crossrefs

Cf. A007097, A356082 (binary), A356084 (quaternary).

Programs

PARI

a(n) = my(ret=1); for(i=2,n, ret=prime(ret)^3); ret;

Formula

a(n) = prime(a(n-1))^3, for n>=2.

Extensions

a(5) from Jinyuan Wang, Jul 27 2022