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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
OFFSET
1,2
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
KEYWORD
nonn,base,less
AUTHOR
Umut Uludag, Jan 11 2011
STATUS
approved