A103235 - OEIS

%I #26 Aug 15 2015 10:32:27

%S 1,5,139,2372,33699,436962,5369590,63695861,736958569,8369585647,

%T 93695856417,1036958564113,11369585641074,123695856410673,

%U 1336958564106668,14369585641066604,153695856410665964,1636958564106659561,17369585641066595523

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

%C 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

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/EulerNumber.html">Euler Number</a>

%e 0, -50521, ...

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

%Y Cf. A000364, A122045.

%K nonn,base

%O 0,2

%A _Eric W. Weisstein_, Jan 27 2005

%E More terms from _Robert Gerbicz_, Nov 26 2010