

A189896


Weak Ackermann numbers: H_n(n,n) where H_n is the nth hyperoperator.


8




OFFSET

0,2


COMMENTS



LINKS



FORMULA

a(n) = H_n(n, n), where H_n the hyperoperation indexed by n.


EXAMPLE

a(0) = succ(0) = 0 + 1 = 1, because the zeroth hyperoperation is successor.
a(1) = 1 + 1 = 2, because the first hyperoperation is addition.
a(2) = 2 * 2 = 4, because the second hyperoperation is multiplication.
a(3) = 3^3 = 27, because the third hyperoperation is exponentiation.
a(4) = 4^4^4^4 = 4^(4^(4^4)) = 4^(4^256), because the fourth hyperoperation is tetration. The term is too big to be included: log_2(a(4)) = 2^513.


CROSSREFS

For H_n(x,x) with fixed x, cf. A054871 (x=3, shifted), A141044 (x=1), A253855 (x=4, shifted), A255176 (x=2), A256131 (x=10, shifted).  Danny Rorabaugh, Oct 20 2015


KEYWORD

nonn,bref


AUTHOR



EXTENSIONS



STATUS

approved



