A027747 a(n) = n^n^n^..^n (6-n terms, n<=5).

1, 65536, 7625597484987, 256, 5

Offset: 1

Author

Sent in by an anonymous correspondent

Keywords

• nonn
• fini
• full

Comments

The creator of the test asked me to remove this sequence. But one of the reasons for creating this database was to help people do these tests. This was stated already in the 1973 Handbook of Integer Sequences. Many sequences in the database have appeared on IQ tests.

Examples

			a(1) = 1^(1^(1^(1^1))) = 1.
a(2) = 2^(2^(2^2)) = 2^16.
a(3) = 3^(3^3) = 3^27.
a(4) = 4^4.
a(5) = 5.
		

Links

• P. Cooijmans, Test for Genius (Short Form) [broken link]
• Paul Cooijmans, Numbers.
• Paul Cooijmans, Short Test For Genius.

Crossrefs

Cf. A004231, A049384, A051441.

Programs

Maple

b:= (n, i)-> `if`(i=0, 1, n^b(n, i-1)):
a:= n-> b(n, 6-n):
seq(a(n), n=1..5);  # Alois P. Heinz, Aug 22 2017

Extensions

Examples from Martin Renner, Aug 22 2017