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A171882
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Square array, read by antidiagonals, where T(n,k)=n^^k for n>=0, k>=0.
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1
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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, 65536, 1, 1, 1, 6, 3125, 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| n^^k defined the right-associative way: n^^2=n^n, n^^3=n^(n^n), n^^4=n^(n^(n^n)), etc.
n^^0=1 by convention, so that n^^(k+1) = n^(n^^k) for all k>=0.
More terms on Munafo website.
Array begins:
1,0,1,0,1,0,1,...
1,1,1,1,1,1,1,...
1,2,4,16,65536,...
1,3,27,7625597484987,...
1,4,256,...
1,5,3125,...
1,6,46656,...
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LINKS
| R. Munafo, Hyper4 Iterated Exponential Function
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CROSSREFS
| Cf. A171881.
Sequence in context: A118340 A071921 A003992 * A118345 A118350 A183135
Adjacent sequences: A171879 A171880 A171881 * A171883 A171884 A171885
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KEYWORD
| nonn,tabl
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AUTHOR
| Robert Munafo (mrob27(AT)gmail.com), Jan 21 2010
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