%I #21 May 02 2020 04:23:00
%S 1,0,0,0,0,0,1,9,0,8,2,1,2,7,1,6,5,5,3,9,3,8,9,2,5,6,5,6,9,5,7,7,9,5,
%T 1,0,1,3,5,3,2,5,8,5,7,1,1,4,4,8,3,8,6,3,0,2,3,5,9,3,3,0,4,6,7,6,1,8,
%U 2,3,9,4,9,7,0,5,3,4,1,3,0,9,3,1,2,6,6,4,2,2,7,1,1,8,0,7,6,3,0
%N Decimal expansion of zeta(19).
%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811.
%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%F zeta(19) = Sum_{n >= 1} (A010052(n)/n^(19/2)) = Sum_{n >= 1} ( (floor(sqrt(n)) - floor(sqrt(n-1)))/n^(19/2) ). - _Mikael Aaltonen_, Feb 23 2015
%F zeta(19) = Product_{k>=1} 1/(1 - 1/prime(k)^19). - _Vaclav Kotesovec_, May 02 2020
%e 1.0000019082127165539389256569577951013532585711448386302359330467618239...
%t RealDigits[Zeta[19], 10, 75][[1]] (* _Vincenzo Librandi_, Feb 24 2015 *)
%Y Cf. A013663, A013667, A013669, A013671, A013675.
%K cons,nonn
%O 1,8
%A _N. J. A. Sloane_