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A252730
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a(n) = P_n(n) with P_0(z) = z+1 and P_n(z) = z + P_{n-1}(z)*(P_{n-1}(z)-z) for n>1.
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2
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OFFSET
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0,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..10
A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fibonacci Quarterly, Vol. 11, No. 4 (1973), pp. 429-437, alternative link.
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MAPLE
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p:= proc(n) option remember;
z-> z+ `if`(n=0, 1, p(n-1)(z)*(p(n-1)(z)-z))
end:
a:= n-> p(n)(n):
seq(a(n), n=0..8);
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MATHEMATICA
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p[n_] := p[n] = Function[z, z + If[n == 0, 1, p[n-1][z]*(p[n-1][z] - z)]];
a[n_] := p[n][n];
Table[a[n], {n, 0, 8}] (* Jean-François Alcover, Jun 12 2018, from Maple *)
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CROSSREFS
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Main diagonal of A177888.
Sequence in context: A309060 A270816 A217957 * A225728 A351590 A175984
Adjacent sequences: A252727 A252728 A252729 * A252731 A252732 A252733
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Dec 20 2014
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STATUS
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approved
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