A179852 Number of terms in the simple continued fraction for (e truncated to n decimal digits).

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

Offset

1,2

Links

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

Example

a(1): simple continued fraction (SCF) for 2 = 2 (1 term);
a(2): SCF for 2.7 = 2+1/(1+1/(2+1/3)) (4 terms);
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(n-1)/10^(n-1) ; 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 A346124

Adjacent sequences: A179849 A179850 A179851 * A179853 A179854 A179855

Keyword

nonn,base,less

Author

Umut Uludag, Jan 11 2011

Status

approved