This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A171882 #7 Apr 05 2021 03:54:04 %S A171882 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 A171882 65536,1,1,1,6,3125, %U A171882 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 %N A171882 Square array, read by antidiagonals, where T(n,k)=n^^k for n>=0, k>=0. %C A171882 n^^k defined the right-associative way: n^^2=n^n, n^^3=n^(n^n), n^^4=n^(n^(n^n)), etc. %C A171882 n^^0=1 by convention, so that n^^(k+1) = n^(n^^k) for all k>=0. %C A171882 More terms on Munafo website. %H A171882 R. Munafo, <a href="http://mrob.com/pub/math/hyper4.html">Hyper4 Iterated Exponential Function</a> %H A171882 <a href="/index/Te#tetration">Index entries for sequences related to tetration</a> %e A171882 Array begins: %e A171882 1,0,1,0,1,0,1,... %e A171882 1,1,1,1,1,1,1,... %e A171882 1,2,4,16,65536,... %e A171882 1,3,27,7625597484987,... %e A171882 1,4,256,... %e A171882 1,5,3125,... %e A171882 1,6,46656,... %Y A171882 Cf. A171881, A321312 (by downwards diagonals). %Y A171882 Rows n=0 to 4: A059841, A000012, A014221, A014222, A114561. %Y A171882 Columns k=0 to 3: A000012, A001477, A000312, A002488. %Y A171882 Main diagonal A004231 (Ackermann's sequence). %K A171882 nonn,tabl %O A171882 0,8 %A A171882 _Robert Munafo_, Jan 21 2010