A275203 Hyperoperations using consecutive integers.

1, 2, 4, 64

Offset

0,2

Comments

a(4) is too large to display. The number of decimal digits in (the number of decimal digits in a(4)) is approximately 64^64*log[10](64), that is, about 7.1*10^115. - Robert Israel, Jul 19 2016

Links

Table of n, a(n) for n=0..3.

Wikipedia, Hyperoperation

Formula

a(n) = H_n(a(n-1),n), where H_n is the n-th hyperoperation.

Example

a(0) = H_0(null,0) = 0+1 = 1.
a(1) = H_1(1,1) = 1+1 = 2.
a(2) = H_2(2,2) = 2*2 = 4.
a(3) = H_3(4,3) = 4^3 = 64.
a(4) = H_4(64,4) = 64^(64^(64^64)).

Crossrefs

Cf. A189896, A264930.

Sequence in context: A245164 A009744 A124592 * A232444 A088079 A118993

Adjacent sequences: A275200 A275201 A275202 * A275204 A275205 A275206

Keyword

nonn

Author

Tyler Skywalker, Jul 19 2016

Status

approved