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
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