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A165428
a(1) = 1, a(2) = 10; thereafter a(n) = Product_{1 <= i <= n-1} a(i).
3
1, 10, 10, 100, 10000, 100000000, 10000000000000000, 100000000000000000000000000000000, 10000000000000000000000000000000000000000000000000000000000000000
OFFSET
1,2
LINKS
FORMULA
a(n) = 10^(2^(n-3)) = A011557(2^(n-3)) = 10^A000079(n-3).
a(1) = 1, a(2) = 10, a(3) = 10, and for n > 3 a(n) = (a(n-1))^2.
MATHEMATICA
a[1] = 1; a[2] = 10; a[n_] := Times @@ Array[a, n - 1]; Array[a, 9] (* Robert G. Wilson v, Oct 13 2009 *)
Join[{1, 10}, NestList[#^2&, 10, 10]] (* Harvey P. Dale, Nov 30 2021 *)
PROG
(PARI) {a(n) = if(n==1, 1, if(n==2, 10, prod(j=1, n-1, a(j))))};
for(n=1, 10, print1(a(n), ", ")) \\ G. C. Greubel, Oct 19 2018
CROSSREFS
Sequence in context: A285613 A288301 A287602 * A288495 A288765 A287743
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Sep 17 2009
EXTENSIONS
Name changed, formula edited by Robert G. Wilson v, Oct 13 2009
Edited by N. J. A. Sloane, Oct 15 2009
STATUS
approved