login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A271551
a(0) = 0, a(n) = a(n-1)[n-1]a(n-1).
1
0, 1, 2, 4, 256
OFFSET
0,3
COMMENTS
a[n]b is the square-bracket notation for n-th hyperoperation of a times b see A054871 for more info.
EXAMPLE
a(0) = 0;
a(1) = a(0)[0]a(0) = 1;
a(2) = a(1)[1]a(1) = 1+1 = 2;
a(3) = a(2)[2]a(2) = 2*2 = 4;
a(4) = a(3)[3]a(3) = 4^4 = 256;
a(5) = a(4)[4]a(4) = 256^^256 = 256^256^....^256 (256 times).
CROSSREFS
Cf. A271552.
Sequence in context: A018770 A260755 A173566 * A058990 A343255 A262413
KEYWORD
nonn,bref
AUTHOR
Natan Arie Consigli, Apr 09 2016
STATUS
approved