

A179852


Number of terms in the simple continued fraction for (e truncated to n decimal digits).


1



1, 4, 6, 8, 12, 13, 15, 17, 23, 24, 31, 23, 29, 29, 34, 38, 36, 42, 38, 47, 44, 44, 50, 48, 49, 54, 60, 56, 60, 61, 60, 60, 70, 68, 77, 72, 71, 82, 68, 81, 78, 83, 82, 82, 89, 91, 102, 90, 98, 99, 103, 97, 90, 107, 107, 112, 111, 120, 109, 115, 118, 112, 111, 127, 128, 133, 117, 117, 117, 139, 136
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


LINKS

Table of n, a(n) for n=1..71.


EXAMPLE

For n=1, a(1): simple continued fraction (SCF) for 2 = 2 (1 term); n=2, a(2): SCF for 2.7 = 2+1/(1+1/(2+1/3)) (4 terms); n=3, a(3): SCF for 2.71 = 2+1/(1+1/(2+1/(2+1/(4+1/3)))) (6 terms)


MAPLE

Digits := 120 ;
A011543 := proc(n) floor(exp(1)*10^n) ; end proc:A179852 := proc(n) A011543(n1)/10^(n1) ; numtheory[cfrac](%) ; op(%) ; nops(%) ; end proc: # R. J. Mathar, Jan 14 2011


CROSSREFS

Cf. A080235, A080229, A011543.
Sequence in context: A275789 A031359 A274790 * A281020 A110606 A241124
Adjacent sequences: A179849 A179850 A179851 * A179853 A179854 A179855


KEYWORD

nonn,base,less


AUTHOR

Umut Uludag, Jan 11 2011


STATUS

approved



