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A171881
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Square array, read by antidiagonals, where T(n,k)=n^^k for n>=0, k>=1.
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1
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0, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 27, 16, 1, 1, 5, 256, 19683, 256, 1, 1, 6, 3125, 4294967296, 7625597484987, 65536, 1, 1, 7, 46656, 298023223876953125, 340282366920938463463374607431768211456
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| n^^k is defined the left-associative way: n^^2=n^n, n^^3=(n^n)^n=n^(n^2), n^^4=((n^n)^n)^n=n^(n^3), and in general n^^k=n^(n^(k-1)).
More terms on Munafo website.
Array begins:
0,1,1,1,1,1,...
1,1,1,1,1,1,...
2,4,16,256,65536,...
3,27,19683,...
4,256,4294967296,...
5,3125,...
6,46656,...
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LINKS
| R. Munafo, Hyper4 Iterated Exponential Function
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CROSSREFS
| Cf. A171882.
Sequence in context: A124834 A104495 A093541 * A160449 A089940 A123974
Adjacent sequences: A171878 A171879 A171880 * A171882 A171883 A171884
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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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