A195604 Numerator of floor(e*10^n)/10^n, where e = exp(1) = A001113.

2, 27, 271, 1359, 13591, 67957, 2718281, 13591409, 135914091, 679570457, 6795704571, 54365636569, 2718281828459, 2718281828459, 16989261427869, 543656365691809, 6795704571147613, 271828182845904523, 543656365691809047, 27182818284590452353

Offset: 0

Author

M. F. Hasler, following a suggestion by Eric Angelini, Sep 21 2011

Keywords

• nonn
• base

Comments

Numerator of the decimal fraction of e = 2.71828... truncated to a given number of decimal places.

Examples

			a(2) = 271 is the numerator of 2.71 = 271/100.
a(3) = 1359 is the numerator of 2.718 = 2718/1000 = 1359/500.
		

Programs

Mathematica

Module[{nn=30,ee},ee=RealDigits[E,10,nn][[1]];Join[{2},Rest[ Numerator[ Table[ FromDigits[Take[ee,n]]/10^n,{n,nn}]]]]] (* Harvey P. Dale, May 15 2015 *)

PARI

a(n,c=exp(1))=numerator(c\.1^n/10^n)  \\ M. F. Hasler, Sep 21 2011