A092040 - OEIS

A092040

Decimal expansion of Pi^(1/4).

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, 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, 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

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OFFSET

1,2

COMMENTS

The convergents of the continued fractions are 4/3, 221/166, 667/501, 888/667, 1555/1168, 3998/3003, 13549/10177, 505311/379552, ... - R. J. Mathar, Jan 29 2025

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

John H. Conway and Michael J. T. Guy, Pi in Four 4's, Eureka, The Archimedeans' Journal, Vol. 25 (1962), pp. 18-19.

Index entries for transcendental numbers

FORMULA

Equals Gamma(1/2)^(1/2). - Bruno Berselli, Mar 01 2013

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

EXAMPLE

1.3313353638003897127975349179502808533093662238181042...

MATHEMATICA

RealDigits[(Pi)^(1/4), 10, 100][[1]] (* Vincenzo Librandi, Mar 01 2013 *)

CROSSREFS