A010515 - OEIS

%I #18 Dec 20 2015 13:39:22

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

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

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

%N Decimal expansion of square root of 62.

%C Sqrt(62) = 787400 * Sum_{n>=0} (A001790(n)/2^A005187(floor(n/2)) * 10^(-6n-5)) where A001790(n) are numerators in expansion of 1/sqrt(1-x) and the denominators in expansion of 1/sqrt(1-x) are 2^A005187(n). 786400 = 62*12700, see A020819 (expansion of 1/sqrt(62)). - _Gerald McGarvey_, Jan 01 2005

%C Continued fraction expansion is 7 followed by {1, 6, 1, 14} repeated. - _Harry J. Smith_, Jun 07 2009

%H Harry J. Smith, <a href="/A010515/b010515.txt">Table of n, a(n) for n = 1..20000</a>

%e 7.874007874011811019685034448812007863681086122020853794598842550313760... - _Harry J. Smith_, Jun 07 2009

%t RealDigits[N[62^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 22 2012 *)

%o (PARI) { default(realprecision, 20080); x=sqrt(62); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010515.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 07 2009

%Y Cf. A001790, A005187, A020819.

%Y Cf. A010146 Continued fraction. - _Harry J. Smith_, Jun 07 2009

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

%E Final digits of sequence corrected using the b-file. - _N. J. A. Sloane_, Aug 30 2009