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A171882 Square array, read by antidiagonals, where T(n,k)=n^^k for n>=0, k>=0. 1
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; text; internal format)
OFFSET

0,8

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,...

LINKS

Table of n, a(n) for n=0..31.

R. Munafo, Hyper4 Iterated Exponential Function

CROSSREFS

Cf. A171881.

Sequence in context: A071921 A003992 A246118 * A214075 A118345 A118350

Adjacent sequences:  A171879 A171880 A171881 * A171883 A171884 A171885

KEYWORD

nonn,tabl

AUTHOR

Robert Munafo, Jan 21 2010

STATUS

approved

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Last modified April 27 04:48 EDT 2017. Contains 285507 sequences.