cp's OEIS Frontend

A100609 Decimal expansion of the constant whose continued fraction representation is [e^0; e^1, e^2, e^3, e^4, ...] where e is A001113 and the exponents cycle through all nonnegative integers.

%I A100609 #10 Dec 19 2015 23:04:09
%S A100609 1,3,5,0,5,4,3,6,0,4,3,2,2,1,1,2,4,1,8,0,4,7,0,9,8,3,2,4,6,5,9,7,4,8,
%T A100609 3,6,8,6,6,1,4,6,7,3,3,2,0,5,8,3,6,4,0,4,6,6,5,6,0,2,9,1,6,6,2,8,0,9,
%U A100609 4,7,1,9,0,4,4,1,2,4,5,8,4,5,3,8,1,5,9,0,7,8,9,4,6,5,2,5,1,9,2,4,2,6,6,0,9
%N A100609 Decimal expansion of the constant whose continued fraction representation is [e^0; e^1, e^2, e^3, e^4, ...] where e is A001113 and the exponents cycle through all nonnegative integers.
%H A100609 Harry J. Smith, <a href="/A100609/b100609.txt">Table of n, a(n) for n = 1..2000</a>
%e A100609 1.35054360432211241804709832465974836866146733205836404665602916628...
%t A100609 N[FromContinuedFraction[Table[E^k, {k, 0, 25}]], 111]
%o A100609 (PARI) f(n)= { x=0; for (i=1, n, x=1/(exp(1+n-i) + x)); 1+x } { default(realprecision, 2080); y=1.0; n=70; x=f(n); while(x!=y, y=x; n=n+1; x=f(n);); for (m=1, 2000, d=floor(x); x=(x-d)*10; write("b100609.txt", m, " ", d)); } \\ _Harry J. Smith_, May 03 2009
%Y A100609 Cf. A001113.
%Y A100609 Cf. A055972 Continued fraction. - _Harry J. Smith_, May 03 2009
%K A100609 cons,nonn
%O A100609 1,2
%A A100609 Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004
%E A100609 Fixed my PARI program, had -n numbers _Harry J. Smith_, May 19 2009