A093098 "Power into digits": start with a(1)=2, a(2)=3; repeatedly adjoin digits of a(n-2)^a(n-1).

2, 3, 8, 6, 5, 6, 1, 2, 6, 2, 1, 4, 4, 7, 7, 7, 6, 1, 5, 6, 2, 5, 6, 1, 6, 4, 3, 6, 2, 1, 2, 5, 6, 1, 6, 3, 8, 4, 8, 2, 3, 5, 4, 3, 8, 2, 3, 5, 4, 3, 1, 1, 7, 6, 4, 9, 6, 1, 1, 5, 6, 2, 5, 3, 6, 3, 2, 1, 5, 6, 2, 5, 6, 1, 1, 2, 9, 6, 6, 4, 7, 2, 9, 3, 6, 2, 1, 3, 2, 1, 5, 6, 2, 5, 6, 1, 2, 1, 6, 6, 5, 6, 1, 4, 0

Offset: 1

Author

Bodo Zinser, Mar 20 2004

Keywords

• nonn
• base
• easy

Comments

a(490) = a(491) = 0 and so the value of a(1306) is perhaps controversial. I have used the combinatorial definition 0^0 = 1 in my PARI script below. - Charles R Greathouse IV, Feb 15 2024

Examples

			a(3)=a(1)^a(2), a(4)=first digit of a(2)^a(3)=3^8=6561, a(5)=2nd digit of a(2)^a(3)=3^8=6561, a(6)=3rd digit of a(2)^a(3)=3^8=6561
		

Crossrefs

Cf. A093094-A093097.

Programs

PARI

list(lim)=my(v=List([2,3]),i=1); while(#vlim, listpop(~v)); Vec(v) \\ Charles R Greathouse IV, Feb 15 2024