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%I #12 Aug 22 2017 19:51:04
%S 1,65536,7625597484987,256,5
%N a(n) = n^n^n^..^n (6-n terms, n<=5).
%C 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.
%H P. Cooijmans, <a href="http://www.eskimo.com/~miyaguch/tfg/tfg.html">Test for Genius (Short Form)</a> [broken link]
%H Paul Cooijmans, <a href="http://web.archive.org/web/20050302171708/http://members.chello.nl/p.cooijmans/gliaweb/tests/num.html">Numbers</a>.
%H Paul Cooijmans, <a href="http://web.archive.org/web/20031006141136/http://members.chello.nl/p.cooijmans/gliaweb/tests/tfg/tfgshort.html">Short Test For Genius</a>.
%e a(1) = 1^(1^(1^(1^1))) = 1.
%e a(2) = 2^(2^(2^2)) = 2^16.
%e a(3) = 3^(3^3) = 3^27.
%e a(4) = 4^4.
%e a(5) = 5.
%p b:= (n, i)-> `if`(i=0, 1, n^b(n, i-1)):
%p a:= n-> b(n, 6-n):
%p seq(a(n), n=1..5); # _Alois P. Heinz_, Aug 22 2017
%Y Cf. A004231, A049384, A051441.
%K nonn,fini,full
%O 1,2
%A Sent in by an anonymous correspondent.
%E Examples from _Martin Renner_, Aug 22 2017
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