A093098 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

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

PROG

(PARI) list(lim)=my(v=List([2, 3]), i=1); while(#v<lim, my(t=digits(v[i]^v[i++])); if(#t==0, listput(v, 0), for(i=1, #t, listput(~v, t[i])))); while(#v>lim, listpop(~v)); Vec(v) \\ Charles R Greathouse IV, Feb 15 2024

CROSSREFS

Cf. A093094-A093097.

Sequence in context: A160099 A309967 A321336 * A021423 A160582 A321668

Adjacent sequences: A093095 A093096 A093097 * A093099 A093100 A093101

KEYWORD

nonn,base,easy

AUTHOR

Bodo Zinser, Mar 20 2004

STATUS

approved