A174607 - OEIS

%I #13 May 24 2023 03:59:19

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

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

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

%N Decimal expansion of Pi^2/(6*log(phi)) where phi=(1+sqrt(5))/2.

%H Brigitte Vallée, <a href="http://www.numdam.org/item?id=JTNB_2000__12_2_531_0">Digits and continuants in Euclidean algorithms. Ergodic vs tauberian theorems</a>, Journal de théorie des nombres de Bordeaux 12 (2000), 519-558.

%e 3.41831597061124385292763138...

%t RealDigits[Pi^2/(6*Log[GoldenRatio]), 10, 100][[1]] (* _Amiram Eldar_, May 24 2023 *)

%o (PARI) Pi^2/6/log((1+sqrt(5))/2) \\ _Michel Marcus_, Apr 04 2014

%Y Cf. A001622, A002390, A013661.

%K cons,nonn

%O 1,1

%A _Benoit Cloitre_, Mar 23 2010