A103235 Number of decimal digits in the Euler number E(10^n).

1, 5, 139, 2372, 33699, 436962, 5369590, 63695861, 736958569, 8369585647, 93695856417, 1036958564113, 11369585641074, 123695856410673, 1336958564106668, 14369585641066604, 153695856410665964, 1636958564106659561, 17369585641066595523

Offset

0,2

Comments

By "Euler number" here we mean the secant or "zig" numbers, and not the Euler number of a finite complex nor the prime numbers generated by the polynomial n^2 + n + 41. - Alonso del Arte, Jan 17 2012

For n > 0, number of decimal digits in A000364(10^n / 2). - Charles R Greathouse IV, Jan 17 2012

Links

Table of n, a(n) for n=0..18.

Eric Weisstein's World of Mathematics, Euler Number

Example

0, -50521, ...

Mathematica

Block[{$MaxExtraPrecision = Infinity}, Join[{1}, Table[Ceiling[Log[10, Abs[EulerE[10^n]]]], {n, 4}]]] (* Alonso del Arte, Jan 17 2012 *)

Crossrefs

Cf. A000364, A122045.

Sequence in context: A134766 A224826 A122911 * A188451 A362993 A061463

Adjacent sequences: A103232 A103233 A103234 * A103236 A103237 A103238

Keyword

nonn,base

Author

Eric W. Weisstein, Jan 27 2005

Extensions

More terms from Robert Gerbicz, Nov 26 2010

Status

approved