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 A252730 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. 2
 1, 3, 17, 871, 4870849, 483209576974811, 36956045653220845240164417232897, 8498748758632331927648392184620600167779995785955324343380396911247 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS 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. MAPLE 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); MATHEMATICA 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 *) CROSSREFS Main diagonal of A177888. Sequence in context: A309060 A270816 A217957 * A225728 A351590 A175984 Adjacent sequences:  A252727 A252728 A252729 * A252731 A252732 A252733 KEYWORD nonn AUTHOR Alois P. Heinz, Dec 20 2014 STATUS approved

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Last modified May 28 09:09 EDT 2022. Contains 354112 sequences. (Running on oeis4.)