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A184163 a(0)=1, a(1)=1, a(n)=a(n-1)^a(n-2)+1. 4
1, 1, 2, 3, 10, 1001, 1010045120210252210120045010002 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
a(7) has over 30000 digits.
LINKS
FORMULA
a(n)=a(n-1)^a(n-2)+1
EXAMPLE
a(5)=a(4)^a(3)+1=(a(3)^a(2)+1)^(a(2)^a(1)+1)+1=((a(2)^a(1)+1)^(a(1)^a(0)+1)+1)^((a(1)^a(0)+1)+1)+1=(((a(1)^a(0)+1)+1)^(1+1)+1)^((1+1)+1)+1=(((1+1)+1)^2+1)^3+1=1001.
PROG
(Maxima)
a[0]:1$
a[1]:1$
a[n]:=a[n-1]^a[n-2]+1;
makelist(a[n], n, 1, 10); /* Martin Ettl, Oct 29 2012 */
CROSSREFS
Sequence in context: A330294 A270442 A330581 * A218271 A128125 A351775
KEYWORD
nonn
AUTHOR
Nico Brown, Oct 24 2012
STATUS
approved

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Last modified June 16 16:46 EDT 2024. Contains 373432 sequences. (Running on oeis4.)