A368620 - OEIS

A368620

a(n) is the n-digit numerator of the fraction h/k with h and k coprime positive integers at which abs(h/k-e) is minimal.

3, 87, 878, 2721, 49171, 566827, 9242691, 28245729, 848456353

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OFFSET

1,1

COMMENTS

a(3) = 878 corresponds to the numerator of A368617.

LINKS

Table of n, a(n) for n=1..9.

Index entries for sequences related to the number e

EXAMPLE

n fraction approximated value

- ------------------- ------------------

1 3/1 3

2 87/32 2.71875

3 878/323 2.7182662538699...

4 2721/1001 2.7182817182817...

5 49171/18089 2.7182818287356...

6 566827/208524 2.7182818284705...

7 9242691/3400196 2.7182818284593...

8 28245729/10391023 2.7182818284590...

...

MATHEMATICA

a[1]=3; a[n_]:=Module[{minim=Infinity}, For[i = 10^(n - 1), i <= 10^n - 1, i++, For[j = Floor[i/E], j <= Ceiling[i/E], j++, If[(dist = Abs[i/j - E]) < minim && GCD[i, j] == 1, minim = dist; hmin = i]]]; hmin]; Array[a, 9]

CROSSREFS

Cf. A001113, A368617, A368621 (denominator), A368659.

Cf. A007676, A007677, A368618, A368619.

Sequence in context: A159053 A172494 A279131 * A230670 A232069 A172723

Adjacent sequences: A368617 A368618 A368619 * A368621 A368622 A368623

KEYWORD

nonn,base,frac,more

AUTHOR

Stefano Spezia, Jan 01 2024

STATUS

approved