A096404 a(n) = ceiling(e^(e^n)).

2, 2, 2, 2, 2, 3, 16, 1619, 528491312, 514843556263457213182266, 28511235679461510605581038657982805983853648817939444953417128837

Offset

-5,1

Comments

The next term is too large to show above.

From Peter Munn, Feb 13 2025: (Start)

The underlying function continues similarly to any negative value.

Equivalently, a(n) is the least k such that log(log(k)) > n.

(End)

Links

Amiram Eldar, Table of n, a(n) for n = -5..7

Formula

a(n) = A096232(n) + 1. - Peter Munn, Feb 13 2025

Mathematica

Ceiling[E^(E^Range[-5, 5])] (* Harvey P. Dale, Nov 04 2019 *)

Prog

(Python)
from sympy import E
def a(n): return int(E**(E**n)) + 1
print([a(n) for n in range(-5, 6)]) # Michael S. Branicky, Mar 16 2021

Crossrefs

Cf. A001113, A016066, A096232.

Sequence in context: A322073 A332201 A060467 * A125918 A239202 A083533

Adjacent sequences: A096401 A096402 A096403 * A096405 A096406 A096407

Keyword

nonn

Author

N. J. A. Sloane, Aug 15 2004

Extensions

Terms prepended for search purposes by Peter Munn, Feb 13 2025

Status

approved