A092040 - OEIS

%I #24 Aug 26 2024 02:01:06

%S 1,3,3,1,3,3,5,3,6,3,8,0,0,3,8,9,7,1,2,7,9,7,5,3,4,9,1,7,9,5,0,2,8,0,

%T 8,5,3,3,0,9,3,6,6,2,2,3,8,1,8,1,0,4,2,5,8,4,5,3,7,0,7,4,8,2,8,6,6,7,

%U 0,0,7,6,1,0,1,7,2,3,5,6,1,4,9,6,8,2,4,5,8,9,1,0,5,6,7,0,6,9,4,5

%N Decimal expansion of Pi^(1/4).

%H Vincenzo Librandi, <a href="/A092040/b092040.txt">Table of n, a(n) for n = 1..10000</a>

%H John H. Conway and Michael J. T. Guy, <a href="https://www.archim.org.uk/eureka/archive/Eureka-25.pdf">Pi in Four 4's</a>, Eureka, The Archimedeans' Journal, Vol. 25 (1962), pp. 18-19.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals Gamma(1/2)^(1/2). - _Bruno Berselli_, Mar 01 2013

%F Equals lim_{n->oo} 2^n*n!/(sqrt((2*n)!)*n^(1/4)) (Conway and Guy, 1962). - _Amiram Eldar_, Feb 19 2022

%e 1.3313353638003897127975349179502808533093662238181042...

%t RealDigits[(Pi)^(1/4), 10, 100][[1]] (* _Vincenzo Librandi_, Mar 01 2013 *)

%Y Cf. A000796, A092425, A002161.

%K nonn,cons

%O 1,2

%A _Mohammad K. Azarian_, Mar 27 2004