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%I #7 Apr 05 2021 03:54:04
%S 1,1,0,1,1,1,1,2,1,0,1,3,4,1,1,1,4,27,16,1,0,1,5,256,7625597484987,
%T 65536,1,1,1,6,3125,
%U 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096
%N Square array, read by antidiagonals, where T(n,k)=n^^k for n>=0, k>=0.
%C n^^k defined the right-associative way: n^^2=n^n, n^^3=n^(n^n), n^^4=n^(n^(n^n)), etc.
%C n^^0=1 by convention, so that n^^(k+1) = n^(n^^k) for all k>=0.
%C More terms on Munafo website.
%H R. Munafo, <a href="http://mrob.com/pub/math/hyper4.html">Hyper4 Iterated Exponential Function</a>
%H <a href="/index/Te#tetration">Index entries for sequences related to tetration</a>
%e Array begins:
%e 1,0,1,0,1,0,1,...
%e 1,1,1,1,1,1,1,...
%e 1,2,4,16,65536,...
%e 1,3,27,7625597484987,...
%e 1,4,256,...
%e 1,5,3125,...
%e 1,6,46656,...
%Y Cf. A171881, A321312 (by downwards diagonals).
%Y Rows n=0 to 4: A059841, A000012, A014221, A014222, A114561.
%Y Columns k=0 to 3: A000012, A001477, A000312, A002488.
%Y Main diagonal A004231 (Ackermann's sequence).
%K nonn,tabl
%O 0,8
%A _Robert Munafo_, Jan 21 2010
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