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 A062013 a(1) = 3, a(n) = a(n-1)^2 + 1. 4
 3, 10, 101, 10202, 104080805, 10832813969448026, 117349858496668297583751115296677, 13770989289188072635789270799554901596999795308252284177727242330 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Define f(n, c) := x - Sum_{k>=0} A088674(k)/(2*x)^(2*k+1) where x = c^(2^n). Then a(n) = f(n, 1.78050350...). - Michael Somos, Jun 07 2021 LINKS Harry J. Smith, Table of n, a(n) for n = 1..11 FORMULA a(n) ~ c^(2^n), where c = 1.78050350352842911667602268320603615359... - Vaclav Kotesovec, Sep 20 2013 EXAMPLE a(4) = a(3)^2 +1 = 101^2 +1 =10202 MATHEMATICA NestList[#^2+1&, 3, 10] (* Harvey P. Dale, Feb 21 2013 *) a[ n_] := If[n < 2, 3 Boole[n == 1], A062013[n - 1]^2 + 1]; (* Michael Somos, Jun 07 2021 *) PROG (PARI) { for (n=1, 11, if (n==1, a=3, a=a^2 + 1); write("b062013.txt", n, " ", a) ) } [Harry J. Smith, Jul 29 2009] CROSSREFS Cf. A003095, A088674. Sequence in context: A015487 A326428 A260813 * A023372 A025541 A203903 Adjacent sequences: A062010 A062011 A062012 * A062014 A062015 A062016 KEYWORD nonn AUTHOR Amarnath Murthy, Jun 01 2001 EXTENSIONS More terms from Jason Earls, Jun 02 2001 Offset changed from 0,1 to 1,1 by Harry J. Smith, Jul 29 2009 Typo in a(8) corrected by N. J. A. Sloane, Aug 31 2009 using the b-file. STATUS approved

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Last modified November 28 19:28 EST 2023. Contains 367419 sequences. (Running on oeis4.)